Triangle Seminars
December 2024
Fri
13 Dec 2024
Joint Maths-Physics Event
📍 London
Multiple Speakers
(KCL)
Abstract:
15:00 - Jeremy Mann: "Semiclassical N-body Problem in AdS at Large Spin" //
15:20 - Azadeh Maleknejad: "Stochastic Fermion Creation: Remnant of Gravitational Chiral Anomaly"
//
15:40 - Refreshments
//
16:10 - Ofer Lahav (UCL): "The Status of Dark Energy Observations"
//
17:00 - Pub
15:00 - Jeremy Mann: "Semiclassical N-body Problem in AdS at Large Spin" //
15:20 - Azadeh Maleknejad: "Stochastic Fermion Creation: Remnant of Gravitational Chiral Anomaly"
//
15:40 - Refreshments
//
16:10 - Ofer Lahav (UCL): "The Status of Dark Energy Observations"
//
17:00 - Pub
Posted by: andrea
Thu
12 Dec 2024
The M-theory geometry of Generalised Toric Polygons
📍 London
Guillermo Arias-Tamargo
(Imperial College London)
Abstract:
There are various ways of constructing 5d SCFTs in String Theory; most famously, one can look at geometric engineering in M-theory or webs of 5-branes in type IIB. It is well understood how to translate from one setup to the other in the case where the Calabi-Yau geometry is toric. However, in the type IIB picture, brane manipulations such as Hanany-Witten transitions can lead us beyond the pure toric context; the combinatorial data enconding the system has been dubbed a Generalized Toric Polygon (GTP). In this talk, I will discuss recent progress understanding the geometry of GTPs. A key role is played by the mirror Calabi-Yau, where Hanany-Witten transitions take a very simple form. This allows us to make contact with a mathematical notion of "polytope mutation", and import part of the results in that literature to our physical setup; as an example, we find "mutation invariants" that can prove useful in the classification of 5d SCFTs. Time permitting, I'll also discuss some consequences for the BPS quivers of the 5d theories engineered by GTPs.
There are various ways of constructing 5d SCFTs in String Theory; most famously, one can look at geometric engineering in M-theory or webs of 5-branes in type IIB. It is well understood how to translate from one setup to the other in the case where the Calabi-Yau geometry is toric. However, in the type IIB picture, brane manipulations such as Hanany-Witten transitions can lead us beyond the pure toric context; the combinatorial data enconding the system has been dubbed a Generalized Toric Polygon (GTP). In this talk, I will discuss recent progress understanding the geometry of GTPs. A key role is played by the mirror Calabi-Yau, where Hanany-Witten transitions take a very simple form. This allows us to make contact with a mathematical notion of "polytope mutation", and import part of the results in that literature to our physical setup; as an example, we find "mutation invariants" that can prove useful in the classification of 5d SCFTs. Time permitting, I'll also discuss some consequences for the BPS quivers of the 5d theories engineered by GTPs.
Posted by: QMW
Wed
11 Dec 2024
Deriving Gauge-String Duality
Rajesh Gopakumar
(ICTS)
Abstract:
Gauge (or Yang-Mills) theories are the building blocks of our current physical understanding of the universe. In parallel, string theory is a framework for a consistent quantum description of gravity. Gauge-String duality a.k.a. the AdS/CFT correspondence proposes a remarkable connection between these two very different classes of theories. I will begin by discussing why it is important to arrive at a first principles understanding of the underlying mechanism of this duality relating quantum field theories (QFTs) and string theories (or other theories of gravity). I will then proceed to discuss a very general approach which aims to relate large N QFTs and string theories, starting from free field theories. This corresponds to a tensionless limit of the dual string theory on AdS spacetime. Finally, I will discuss specific cases of this limit for 3d AdS (dual to 2d CFT) and 5d AdS (dual to 4d Super Yang-Mills theory), where one has begun to carry this program through to fruition, going from the string theory to the field theory and vice versa.
Gauge (or Yang-Mills) theories are the building blocks of our current physical understanding of the universe. In parallel, string theory is a framework for a consistent quantum description of gravity. Gauge-String duality a.k.a. the AdS/CFT correspondence proposes a remarkable connection between these two very different classes of theories. I will begin by discussing why it is important to arrive at a first principles understanding of the underlying mechanism of this duality relating quantum field theories (QFTs) and string theories (or other theories of gravity). I will then proceed to discuss a very general approach which aims to relate large N QFTs and string theories, starting from free field theories. This corresponds to a tensionless limit of the dual string theory on AdS spacetime. Finally, I will discuss specific cases of this limit for 3d AdS (dual to 2d CFT) and 5d AdS (dual to 4d Super Yang-Mills theory), where one has begun to carry this program through to fruition, going from the string theory to the field theory and vice versa.
Posted by: IC2
Thu
5 Dec 2024
Holographic correlators beyond maximal supersymmetry
📍 London
Hynek Paul
(KU Leuven)
Abstract:
I will describe an example of the AdS/CFT correspondence between a 4d N=1 SCFT arising from a mass deformation of N=4 SYM theory and an AdS_5 flux background of type IIB string theory. The SCFT does not admit a weakly coupled description which makes the calculation of its correlation functions challenging. Instead, I will consider a consistent trunctation of the bulk supergravity theory to explicitly compute two- and three-point correlation functions in the planar limit of the CFT. A qualitatively new feature is the presence of unprotected multiplets in the supergravity spectrum. As a non-trivial consistency check of our results, I will show agreement with superconformal Ward identities in the 4d N=1 SCFT. Based on work in progress with Nikolay Bobev.
I will describe an example of the AdS/CFT correspondence between a 4d N=1 SCFT arising from a mass deformation of N=4 SYM theory and an AdS_5 flux background of type IIB string theory. The SCFT does not admit a weakly coupled description which makes the calculation of its correlation functions challenging. Instead, I will consider a consistent trunctation of the bulk supergravity theory to explicitly compute two- and three-point correlation functions in the planar limit of the CFT. A qualitatively new feature is the presence of unprotected multiplets in the supergravity spectrum. As a non-trivial consistency check of our results, I will show agreement with superconformal Ward identities in the 4d N=1 SCFT. Based on work in progress with Nikolay Bobev.
Posted by: QMW
Wed
4 Dec 2024
Experiments on Anyons
📍 London
Steven Simon
(Oxford)
Abstract:
In 2+1 dimensions quantum particles can exist that are neither bosons nor fermions. Such particles, known as "anyons" have been studied theoretically for over forty years. While there has long been good reason to believe that these particles exist, particularly in fractional quantum Hall systems, it has been frustratingly difficult to perform experiments that probe the properties of these particles –- with many failures over the year. However, just in the last few years, with the maturation of a few new technologies, there have now been several very different but increasingly clear experiments that directly measure the exotic exchange statistics of these particles. I will explain the history of some of these experiments, what they have achieved, and what remains to be done.
In 2+1 dimensions quantum particles can exist that are neither bosons nor fermions. Such particles, known as "anyons" have been studied theoretically for over forty years. While there has long been good reason to believe that these particles exist, particularly in fractional quantum Hall systems, it has been frustratingly difficult to perform experiments that probe the properties of these particles –- with many failures over the year. However, just in the last few years, with the maturation of a few new technologies, there have now been several very different but increasingly clear experiments that directly measure the exotic exchange statistics of these particles. I will explain the history of some of these experiments, what they have achieved, and what remains to be done.
Posted by: QMW
Wed
4 Dec 2024
Large order perturbation theory and combinatorial Feynman integrals
📍 London
Erik Panzer
(Oxford U.)
Abstract:
The perturbative expansion of quantum field theory expresses physical quantities as series of numbers (or functions) associated to combinatorial graphs, called Feynman integrals. These integrals are hard to compute, and furthermore their sum forms a series that is in fact divergent. To gain insights into the large order behaviour, Feynman integrals can be approximated astonishingly well by easily computable combinatorial invariants of graphs. I will discuss two such approximations: the tropical Feynman integral and the Martin invariants, using phi^4 theory as an example. The Martin invariants are related to the O(-2) symmetric vector model and can be generalized to an integer sequence. I will end explaining how this sequence encodes the exact value of a Feynman integral through a limit used by Apery to prove the irrationality of zeta(3).
The perturbative expansion of quantum field theory expresses physical quantities as series of numbers (or functions) associated to combinatorial graphs, called Feynman integrals. These integrals are hard to compute, and furthermore their sum forms a series that is in fact divergent. To gain insights into the large order behaviour, Feynman integrals can be approximated astonishingly well by easily computable combinatorial invariants of graphs. I will discuss two such approximations: the tropical Feynman integral and the Martin invariants, using phi^4 theory as an example. The Martin invariants are related to the O(-2) symmetric vector model and can be generalized to an integer sequence. I will end explaining how this sequence encodes the exact value of a Feynman integral through a limit used by Apery to prove the irrationality of zeta(3).
Posted by: andrea
Tue
3 Dec 2024
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Alessandro Vichi
(Pisa)
Abstract:
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Posted by: IC2
Tue
3 Dec 2024
When are two quantum field theories related by topological manipulations?
📍 London
Brandon Rayhaun
(Stony Brook)
Abstract:
Topological manipulations, like gauging a finite symmetry, produce new quantum field theories from known ones. It is natural to ask how effective they are at moving one around theory space. I will sketch an appealing conjectural answer to this question in the context of 2d rational conformal field theories, which leverages ideas and techniques from 3d topological field theory. I will then present a variety of partial results in the direction of this conjecture, and physically motivate the discussion by situating it in broader quantum field theory lore.
Topological manipulations, like gauging a finite symmetry, produce new quantum field theories from known ones. It is natural to ask how effective they are at moving one around theory space. I will sketch an appealing conjectural answer to this question in the context of 2d rational conformal field theories, which leverages ideas and techniques from 3d topological field theory. I will then present a variety of partial results in the direction of this conjecture, and physically motivate the discussion by situating it in broader quantum field theory lore.
Posted by: QMW
November 2024
Thu
28 Nov 2024
Finite classical observables from amplitudes and the emergent worldline
📍 London
Mao Zeng
(University of Edinburgh)
Abstract:
The rapid advance in gravitational wave detectors has spurred renewed interest in the two-body problem in general relativity. Two perturbative approaches based on quantum field theory have emerged, one based on scattering amplitudes and the other based on worldlines. We argue that the two approaches are equivalent at an intimate level. By systematic algebraic manipulations through the Schwinger parametrization, the loop integrand in the Kosower-Maybe-O'Connell formalism based on wavepacket scattering becomes identical to the counterpart in the worldline QFT formalism of Mogull et al., as shown explicitly for a simple scalar model as well as electrodynamics at two loops. This makes manifest the cancellations of superclassical divergences and exhibits the emergence of the worldline picture including the classical causality flow.
The rapid advance in gravitational wave detectors has spurred renewed interest in the two-body problem in general relativity. Two perturbative approaches based on quantum field theory have emerged, one based on scattering amplitudes and the other based on worldlines. We argue that the two approaches are equivalent at an intimate level. By systematic algebraic manipulations through the Schwinger parametrization, the loop integrand in the Kosower-Maybe-O'Connell formalism based on wavepacket scattering becomes identical to the counterpart in the worldline QFT formalism of Mogull et al., as shown explicitly for a simple scalar model as well as electrodynamics at two loops. This makes manifest the cancellations of superclassical divergences and exhibits the emergence of the worldline picture including the classical causality flow.
Posted by: QMW
Wed
27 Nov 2024
Fusion of Conformal Defects
Petr Kravchuk
(KCL)
Abstract:
Fusion of two conformal defects in conformal field theory can be understood as an RG flow whose IR fixed point is another conformal defect, with the running scale is set by the separation between the defects. When the separation is small, the system can be described by EFT techniques, in terms of an effective action on the IR defect. In this talk I will discuss the constraints that conformal symmetry imposes on such effective actions, and the implications of this picture for observables such as the cusp anomalous dimension. Joint work with Alexander Radcliffe and Ritam Sinha, arXiv:2406.04561.
Fusion of two conformal defects in conformal field theory can be understood as an RG flow whose IR fixed point is another conformal defect, with the running scale is set by the separation between the defects. When the separation is small, the system can be described by EFT techniques, in terms of an effective action on the IR defect. In this talk I will discuss the constraints that conformal symmetry imposes on such effective actions, and the implications of this picture for observables such as the cusp anomalous dimension. Joint work with Alexander Radcliffe and Ritam Sinha, arXiv:2406.04561.
Posted by: IC2
Wed
27 Nov 2024
Entropy in gravitational von Neumann algebras
📍 London
Antony Speranza
(University of Illinois, Urbana-Champaign)
Abstract:
Entanglement entropy in quantum field theory is UV-divergent, which makes it a challenging quantity to analyze from an algebraic perspective. In this talk, I will describe how perturbatively coupling to gravity improves this situation, resulting in a well-defined notion of renormalized entropy in the semiclassical limit. This entropy is constructed using techniques from the theory of von Neumann algebras, and agrees with the generalized entropy of a subregion, consisting of the sum of the quantum field entanglement entropy and the area of the entangling surface. As an application, I will show how to derive the generalized second law for black hole horizons in terms of this renormalized entropy. Time permitting, I will also discuss a construction of a gravitational von Neumann algebra in a slow-roll inflation background, and describe how the background provides an intrinsic notion of a cosmological observer.
Entanglement entropy in quantum field theory is UV-divergent, which makes it a challenging quantity to analyze from an algebraic perspective. In this talk, I will describe how perturbatively coupling to gravity improves this situation, resulting in a well-defined notion of renormalized entropy in the semiclassical limit. This entropy is constructed using techniques from the theory of von Neumann algebras, and agrees with the generalized entropy of a subregion, consisting of the sum of the quantum field entanglement entropy and the area of the entangling surface. As an application, I will show how to derive the generalized second law for black hole horizons in terms of this renormalized entropy. Time permitting, I will also discuss a construction of a gravitational von Neumann algebra in a slow-roll inflation background, and describe how the background provides an intrinsic notion of a cosmological observer.
Posted by: andrea
Tue
26 Nov 2024
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Tessa Baker
(Portsmouth)
Abstract:
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Posted by: IC2
Wed
20 Nov 2024
Lonti: Scattering Amplitudes and Feynman Integrals: A Modern Introduction
Georgios Papathanasiou
(City, University of London)
Abstract:
Scattering amplitudes provide crucial theoretical input in collider and gravitational wave physics, and at the same time exhibit a remarkable mathematical structure. These lectures will introduce essential concepts and modern techniques exploiting this structure so as to efficiently compute amplitudes and their building blocks, Feynman integrals, in perturbation theory. We will start by decomposing gauge theory amplitudes into simpler pieces based on colour and helicity information. Focusing on tree level, we will then show how these may be determined from their analytic properties with the help of Britto-Cachazo-Feng-Witten recursion. Moving on to loop level, we will define the the class of polylogarithmic functions amplitudes and integrals often evaluate to, and explain their properties as well as relate them to the universal framework for predicting their singularities, known as the Landau equations. Time permitting, we will also summarise the state of the art in the calculation of the aforementioned singularities, and their intriguing relation to mathematical objects known as cluster algebras.
Scattering amplitudes provide crucial theoretical input in collider and gravitational wave physics, and at the same time exhibit a remarkable mathematical structure. These lectures will introduce essential concepts and modern techniques exploiting this structure so as to efficiently compute amplitudes and their building blocks, Feynman integrals, in perturbation theory. We will start by decomposing gauge theory amplitudes into simpler pieces based on colour and helicity information. Focusing on tree level, we will then show how these may be determined from their analytic properties with the help of Britto-Cachazo-Feng-Witten recursion. Moving on to loop level, we will define the the class of polylogarithmic functions amplitudes and integrals often evaluate to, and explain their properties as well as relate them to the universal framework for predicting their singularities, known as the Landau equations. Time permitting, we will also summarise the state of the art in the calculation of the aforementioned singularities, and their intriguing relation to mathematical objects known as cluster algebras.
Posted by: andrea
Wed
20 Nov 2024
Cuts of Feynman integrals
Ruth Britto
(Trinity College Dublin)
Abstract:
While Feynman integrals and scattering amplitudes are often very difficult to compute directly, their underlying properties point to new approaches. Cuts of diagrams are a tool for their efficient computation, related to unitarity and singularities. I will present definitions and interpretations of cuts, and ways to embed them in new frameworks which can be used to construct the original integrals and amplitudes.
While Feynman integrals and scattering amplitudes are often very difficult to compute directly, their underlying properties point to new approaches. Cuts of diagrams are a tool for their efficient computation, related to unitarity and singularities. I will present definitions and interpretations of cuts, and ways to embed them in new frameworks which can be used to construct the original integrals and amplitudes.
Posted by: CityU2
Wed
20 Nov 2024
Engineering Perturbative String Duals for 2D CFTs
Volker Schomerus
(DESY)
Abstract:
The systematic construction of string theory duals for (perturbative) field theories, such as Quantum
Chromodynamics (QCD), would be a major advance in the quest to access non-perturbative physics.
Symmetric orbifold theories in 2-dimensional conformal field theories (CFTs) provide a promising stage
to explore new ideas for such a perturbative holography. While they can be controlled with the rich
toolbox of 2D CFTs they do share some basic features with their higher dimensional gauge theory
cousins. In my talk, I will show the engineering of dual string backgrounds at work in the context of
some symmetric product orbifolds. The construction ensures that the amplitudes of the dual string
theory inherently reproduce the correlation functions of the two-dimensional CFT, order-by-order in
perturbation theory, without requiring explicit computation on either side of the correspondence.
The systematic construction of string theory duals for (perturbative) field theories, such as Quantum
Chromodynamics (QCD), would be a major advance in the quest to access non-perturbative physics.
Symmetric orbifold theories in 2-dimensional conformal field theories (CFTs) provide a promising stage
to explore new ideas for such a perturbative holography. While they can be controlled with the rich
toolbox of 2D CFTs they do share some basic features with their higher dimensional gauge theory
cousins. In my talk, I will show the engineering of dual string backgrounds at work in the context of
some symmetric product orbifolds. The construction ensures that the amplitudes of the dual string
theory inherently reproduce the correlation functions of the two-dimensional CFT, order-by-order in
perturbation theory, without requiring explicit computation on either side of the correspondence.
Posted by: CityU2
Tue
19 Nov 2024
Lonti: Scattering Amplitudes and Feynman Integrals: A Modern Introduction
Georgios Papathanasiou
(City, University of London)
Abstract:
Scattering amplitudes provide crucial theoretical input in collider and gravitational wave physics, and at the same time exhibit a remarkable mathematical structure. These lectures will introduce essential concepts and modern techniques exploiting this structure so as to efficiently compute amplitudes and their building blocks, Feynman integrals, in perturbation theory. We will start by decomposing gauge theory amplitudes into simpler pieces based on colour and helicity information. Focusing on tree level, we will then show how these may be determined from their analytic properties with the help of Britto-Cachazo-Feng-Witten recursion. Moving on to loop level, we will define the the class of polylogarithmic functions amplitudes and integrals often evaluate to, and explain their properties as well as relate them to the universal framework for predicting their singularities, known as the Landau equations. Time permitting, we will also summarise the state of the art in the calculation of the aforementioned singularities, and their intriguing relation to mathematical objects known as cluster algebras.
Scattering amplitudes provide crucial theoretical input in collider and gravitational wave physics, and at the same time exhibit a remarkable mathematical structure. These lectures will introduce essential concepts and modern techniques exploiting this structure so as to efficiently compute amplitudes and their building blocks, Feynman integrals, in perturbation theory. We will start by decomposing gauge theory amplitudes into simpler pieces based on colour and helicity information. Focusing on tree level, we will then show how these may be determined from their analytic properties with the help of Britto-Cachazo-Feng-Witten recursion. Moving on to loop level, we will define the the class of polylogarithmic functions amplitudes and integrals often evaluate to, and explain their properties as well as relate them to the universal framework for predicting their singularities, known as the Landau equations. Time permitting, we will also summarise the state of the art in the calculation of the aforementioned singularities, and their intriguing relation to mathematical objects known as cluster algebras.
Posted by: andrea
Tue
19 Nov 2024
C for Carroll
📍 London
Saikat Mondal
(Indian Institute of Technology Kanpur)
Abstract:
Physics beyond relativistic invariance and without Lorentz (or Poincare) symmetry and the geometry underlying these non-Lorentzian structures have become very fashionable of late. This is primarily due to the discovery of uses of non-Lorentzian structures in various branches of physics, including condensed matter physics, classical and quantum gravity, fluid dynamics, cosmology, etc. In this talk, I will be talking about one such theory - Carrollian theory, where the Carroll group replaces the Poincare group as the symmetry group of interest.
Interestingly, any null hypersurface is a Carroll manifold and the Killing vectors on the null manifold generate Carroll algebra. Historically, Carroll group was first obtained from the Poincare group via a contraction by taking the speed of light going to zero limit as a "degenerate cousin of the Poincare group". I will shed some light on Carrollian fermions, i.e. fermions defined on generic null surfaces. Due to the degenerate nature of the Carroll manifold, there exist two distinct Carroll Clifford algebras and, correspondingly, two different Carroll fermionic theories. I will discuss them in detail. Then, I will show some examples; when the dispersion relation becomes trivial, i.e. energy bands flatten out, there can be a possibility of the emergence of Carroll symmetry.
Physics beyond relativistic invariance and without Lorentz (or Poincare) symmetry and the geometry underlying these non-Lorentzian structures have become very fashionable of late. This is primarily due to the discovery of uses of non-Lorentzian structures in various branches of physics, including condensed matter physics, classical and quantum gravity, fluid dynamics, cosmology, etc. In this talk, I will be talking about one such theory - Carrollian theory, where the Carroll group replaces the Poincare group as the symmetry group of interest.
Interestingly, any null hypersurface is a Carroll manifold and the Killing vectors on the null manifold generate Carroll algebra. Historically, Carroll group was first obtained from the Poincare group via a contraction by taking the speed of light going to zero limit as a "degenerate cousin of the Poincare group". I will shed some light on Carrollian fermions, i.e. fermions defined on generic null surfaces. Due to the degenerate nature of the Carroll manifold, there exist two distinct Carroll Clifford algebras and, correspondingly, two different Carroll fermionic theories. I will discuss them in detail. Then, I will show some examples; when the dispersion relation becomes trivial, i.e. energy bands flatten out, there can be a possibility of the emergence of Carroll symmetry.
Posted by: QMUL2
Tue
19 Nov 2024
tba
Scott Melville
(QMUL)
Abstract:
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tba
Posted by: IC2
Thu
14 Nov 2024
Holographic four-point correlators from bubbling geometries
📍 London
David Turton
(Southampton University)
Abstract:
Four-point correlation functions are observables of significant interest in holographic quantum field theories. In this talk I will describe the computation of a family of four-point correlation functions of operators in short multiplets of 4D N=4 super Yang-Mills theory, by studying the quadratic fluctuations around non-trivial supergravity backgrounds. The supergravity backgrounds are supersymmetric smooth geometries in the family derived by Lin, Lunin and Maldacena. For generic parameters, the supergravity backgrounds are dual to heavy CFT states. However I will also discuss the limit in which the dual CFT states become light single-particle states. The resulting all-light four-point correlators are related by superconformal Ward identities to previously known four-point correlators of half-BPS chiral primary operators. By verifying that the Ward identities are satisfied, we confirm the validity of the supergravity method.
Four-point correlation functions are observables of significant interest in holographic quantum field theories. In this talk I will describe the computation of a family of four-point correlation functions of operators in short multiplets of 4D N=4 super Yang-Mills theory, by studying the quadratic fluctuations around non-trivial supergravity backgrounds. The supergravity backgrounds are supersymmetric smooth geometries in the family derived by Lin, Lunin and Maldacena. For generic parameters, the supergravity backgrounds are dual to heavy CFT states. However I will also discuss the limit in which the dual CFT states become light single-particle states. The resulting all-light four-point correlators are related by superconformal Ward identities to previously known four-point correlators of half-BPS chiral primary operators. By verifying that the Ward identities are satisfied, we confirm the validity of the supergravity method.
Posted by: QMW
Wed
13 Nov 2024
Integral Identities from Symmetry Breaking of Conformal Defects
Ziwen Kong
(DESY)
Abstract:
I will present arXiv: 2203.17157 with N. Drukker and G. Sakkas and the paper to appear with N. Drukker and P. Kravchuk. Symmetry-breaking is innate to defects. There is a distinguished set of defect operators that keeps track of the symmetries in the parent conformal field theory broken by the defect insertion, such as the tilt operators and displacement operators. We find identities of such defect operators between their 2-pt functions and integrated 4-pt functions. These identities are derived either from the geometric properties of the defect conformal manifold which is the symmetry-breaking coset, or from the Lie algebra of the corresponding broken symmetry generators. I will demonstrate these integral identities in the case of the 1/2 BPS Maldacena-Wilson loop in N = 4 SYM as an example.
I will present arXiv: 2203.17157 with N. Drukker and G. Sakkas and the paper to appear with N. Drukker and P. Kravchuk. Symmetry-breaking is innate to defects. There is a distinguished set of defect operators that keeps track of the symmetries in the parent conformal field theory broken by the defect insertion, such as the tilt operators and displacement operators. We find identities of such defect operators between their 2-pt functions and integrated 4-pt functions. These identities are derived either from the geometric properties of the defect conformal manifold which is the symmetry-breaking coset, or from the Lie algebra of the corresponding broken symmetry generators. I will demonstrate these integral identities in the case of the 1/2 BPS Maldacena-Wilson loop in N = 4 SYM as an example.
Posted by: IC2
Wed
13 Nov 2024
PostDoc Day
📍 London
Silvia Georgescu. Kausik Ghosh
(KCL)
Wed
13 Nov 2024
Monopoles, Duality, and QED3
📍 London
Shai Chester
(Imperial College)
Abstract:
For small values of k and N, this theory describes various experimentally relevant systems in condensed matter, and is also conjectured to be part of a web of non-supersymmetric dualities. We compute the scaling dimensions of monopole operators in a large N and k expansion, which appears to be extremely accurate even down to the smallest values of N and k, and allows us to find dynamical evidence for these dualities and make predictions about the phase transitions. For instance, we combine these estimates with the conformal bootstrap to predict that the notorious Neel-VBS transition (QED3 with 2 scalars) is tricritical, which was recently confirmed by independent lattice simulations. Lastly, we propose a novel phase diagram for QED3 with 2 fermions, including duality with the O(4) Wilson-Fisher fixed point.
For small values of k and N, this theory describes various experimentally relevant systems in condensed matter, and is also conjectured to be part of a web of non-supersymmetric dualities. We compute the scaling dimensions of monopole operators in a large N and k expansion, which appears to be extremely accurate even down to the smallest values of N and k, and allows us to find dynamical evidence for these dualities and make predictions about the phase transitions. For instance, we combine these estimates with the conformal bootstrap to predict that the notorious Neel-VBS transition (QED3 with 2 scalars) is tricritical, which was recently confirmed by independent lattice simulations. Lastly, we propose a novel phase diagram for QED3 with 2 fermions, including duality with the O(4) Wilson-Fisher fixed point.
Posted by: QMW
Tue
12 Nov 2024
Tidal Love numbers and scattering amplitudes
Julio Parra-Martinez
(IHES)
Abstract:
Tidal Love numbers quantify the deformability and dissipative properties of compact gravitating objects. However, even in classical GR, they undergo renormalization group running due to the nonlinearity of gravity. In this talk I will explain some exact results about their running, which can be extracted by matching calculations of scattering amplitudes in black hole perturbation theory and point-particle effective theories. Due to the universality of EFT, the results have applications to the physics of black holes, neutron stars, and even binary systems. For the specific case of black holes, our matching calculation also provides the precise values of both static and dynamical Love numbers in various dimensions.
Tidal Love numbers quantify the deformability and dissipative properties of compact gravitating objects. However, even in classical GR, they undergo renormalization group running due to the nonlinearity of gravity. In this talk I will explain some exact results about their running, which can be extracted by matching calculations of scattering amplitudes in black hole perturbation theory and point-particle effective theories. Due to the universality of EFT, the results have applications to the physics of black holes, neutron stars, and even binary systems. For the specific case of black holes, our matching calculation also provides the precise values of both static and dynamical Love numbers in various dimensions.
Posted by: IC2
Mon
11 Nov 2024
Lonti: Scattering Amplitudes and Feynman Integrals: A Modern Introduction
Georgios Papathanasiou
(City, University of London)
Abstract:
Scattering amplitudes provide crucial theoretical input in collider and gravitational wave physics, and at the same time exhibit a remarkable mathematical structure. These lectures will introduce essential concepts and modern techniques exploiting this structure so as to efficiently compute amplitudes and their building blocks, Feynman integrals, in perturbation theory. We will start by decomposing gauge theory amplitudes into simpler pieces based on colour and helicity information. Focusing on tree level, we will then show how these may be determined from their analytic properties with the help of Britto-Cachazo-Feng-Witten recursion. Moving on to loop level, we will define the the class of polylogarithmic functions amplitudes and integrals often evaluate to, and explain their properties as well as relate them to the universal framework for predicting their singularities, known as the Landau equations. Time permitting, we will also summarise the state of the art in the calculation of the aforementioned singularities, and their intriguing relation to mathematical objects known as cluster algebras.
Scattering amplitudes provide crucial theoretical input in collider and gravitational wave physics, and at the same time exhibit a remarkable mathematical structure. These lectures will introduce essential concepts and modern techniques exploiting this structure so as to efficiently compute amplitudes and their building blocks, Feynman integrals, in perturbation theory. We will start by decomposing gauge theory amplitudes into simpler pieces based on colour and helicity information. Focusing on tree level, we will then show how these may be determined from their analytic properties with the help of Britto-Cachazo-Feng-Witten recursion. Moving on to loop level, we will define the the class of polylogarithmic functions amplitudes and integrals often evaluate to, and explain their properties as well as relate them to the universal framework for predicting their singularities, known as the Landau equations. Time permitting, we will also summarise the state of the art in the calculation of the aforementioned singularities, and their intriguing relation to mathematical objects known as cluster algebras.
Posted by: andrea
Wed
6 Nov 2024
Exploring Confinement in Anti-de Sitter Space
Lorenzo Di Pietro
(University of Trieste)
Abstract:
I will talk about Yang-Mills theory on four dimensional Anti-de Sitter space. The Dirichlet boundary condition cannot exist at arbitrarily large radius because it would give rise to colored asymptotic states in flat space. This implies a deconfinement-confinement transition as the radius is increased. I will show hints on the nature of this transition obtained in 2407.06268 using perturbation theory. The results favor the scenario of merger and annihilation as the most promising candidate for the transition.
I will talk about Yang-Mills theory on four dimensional Anti-de Sitter space. The Dirichlet boundary condition cannot exist at arbitrarily large radius because it would give rise to colored asymptotic states in flat space. This implies a deconfinement-confinement transition as the radius is increased. I will show hints on the nature of this transition obtained in 2407.06268 using perturbation theory. The results favor the scenario of merger and annihilation as the most promising candidate for the transition.
Posted by: IC2
Wed
6 Nov 2024
Invariant Tensions from DCFT
📍 London
Costas Bachas
(Ecole Normale Superieure)
Abstract:
I will revisit the problem of defining an invariant notion of brane tension, analogous to the ADM mass, in a theory of gravity. I will propose two natural definitions, a gravitational and an inertial tension, in terms of asymptotic data akin to that of a Defect CFT.
I will illustrate these definitions with various examples, and present the evidence why for supersymmetric branes the two tensions must be equal.
I will revisit the problem of defining an invariant notion of brane tension, analogous to the ADM mass, in a theory of gravity. I will propose two natural definitions, a gravitational and an inertial tension, in terms of asymptotic data akin to that of a Defect CFT.
I will illustrate these definitions with various examples, and present the evidence why for supersymmetric branes the two tensions must be equal.
Posted by: andrea
Tue
5 Nov 2024
The Dark Universe: from Cosmology to the Laboratory
Clare Burrage
(Nottingham)
Abstract:
We do not understand 95% of our Universe. 63% of this unknown is dark energy (or a cosmological constant), which drives the accelerated expansion of the universe and 27% is dark matter, an additional matter component which clumps together to form large halos around visible galaxies. These two dominating components of the universe have only been observed through their gravitational effects, and both represent the failure of our standard models of particle physics and gravity to explain cosmology from a fundamental physics standpoint.
In this talk I will focus on the introduction of new light scalar fields which have been suggested as possible explanations for dark matter and the accelerated expansion of the universe. I will show examples of the unusual phenomenology that can arise in such theories, and explain why properties of macroscopic objects, such as density and compactness, are important in understanding how to detect them. I'll then show how this leads to new opportunities for precision laboratory measurements to shed light on this type of new physics.
We do not understand 95% of our Universe. 63% of this unknown is dark energy (or a cosmological constant), which drives the accelerated expansion of the universe and 27% is dark matter, an additional matter component which clumps together to form large halos around visible galaxies. These two dominating components of the universe have only been observed through their gravitational effects, and both represent the failure of our standard models of particle physics and gravity to explain cosmology from a fundamental physics standpoint.
In this talk I will focus on the introduction of new light scalar fields which have been suggested as possible explanations for dark matter and the accelerated expansion of the universe. I will show examples of the unusual phenomenology that can arise in such theories, and explain why properties of macroscopic objects, such as density and compactness, are important in understanding how to detect them. I'll then show how this leads to new opportunities for precision laboratory measurements to shed light on this type of new physics.
Posted by: IC2
Mon
4 Nov 2024
Lonti: Scattering Amplitudes and Feynman Integrals: A Modern Introduction
Georgios Papathanasiou
(City, University of London)
Abstract:
Scattering amplitudes provide crucial theoretical input in collider and gravitational wave physics, and at the same time exhibit a remarkable mathematical structure. These lectures will introduce essential concepts and modern techniques exploiting this structure so as to efficiently compute amplitudes and their building blocks, Feynman integrals, in perturbation theory. We will start by decomposing gauge theory amplitudes into simpler pieces based on colour and helicity information. Focusing on tree level, we will then show how these may be determined from their analytic properties with the help of Britto-Cachazo-Feng-Witten recursion. Moving on to loop level, we will define the the class of polylogarithmic functions amplitudes and integrals often evaluate to, and explain their properties as well as relate them to the universal framework for predicting their singularities, known as the Landau equations. Time permitting, we will also summarise the state of the art in the calculation of the aforementioned singularities, and their intriguing relation to mathematical objects known as cluster algebras.
Scattering amplitudes provide crucial theoretical input in collider and gravitational wave physics, and at the same time exhibit a remarkable mathematical structure. These lectures will introduce essential concepts and modern techniques exploiting this structure so as to efficiently compute amplitudes and their building blocks, Feynman integrals, in perturbation theory. We will start by decomposing gauge theory amplitudes into simpler pieces based on colour and helicity information. Focusing on tree level, we will then show how these may be determined from their analytic properties with the help of Britto-Cachazo-Feng-Witten recursion. Moving on to loop level, we will define the the class of polylogarithmic functions amplitudes and integrals often evaluate to, and explain their properties as well as relate them to the universal framework for predicting their singularities, known as the Landau equations. Time permitting, we will also summarise the state of the art in the calculation of the aforementioned singularities, and their intriguing relation to mathematical objects known as cluster algebras.
Posted by: andrea
October 2024
Thu
31 Oct 2024
Mixmaster chaos in an AdS black hole interior
📍 London
Marine De Clerck
(University of Cambridge)
Abstract:
Amongst the most fascinating behaviours to arise from Einstein's equations is the onset of chaotic dynamics in the approach to certain cosmological singularities. This was analysed in detail in seminal work by Belinskii, Khalatnikov, Lifshitz (BKL) and others some fifty years ago. A consequence of these results is that the Schwarzschild interior solution near the singularity appears very fine-tuned and should give way for BKL-like dynamics in more generic black holes. In arxiv:2312.11622, we construct a setup that realises the so-called "mixmaster" chaotic dynamics in the interior of an AdS black hole. After reviewing the work of BKL, I will describe our holographic setup and discuss the peculiar symmetries appearing in this problem.
Amongst the most fascinating behaviours to arise from Einstein's equations is the onset of chaotic dynamics in the approach to certain cosmological singularities. This was analysed in detail in seminal work by Belinskii, Khalatnikov, Lifshitz (BKL) and others some fifty years ago. A consequence of these results is that the Schwarzschild interior solution near the singularity appears very fine-tuned and should give way for BKL-like dynamics in more generic black holes. In arxiv:2312.11622, we construct a setup that realises the so-called "mixmaster" chaotic dynamics in the interior of an AdS black hole. After reviewing the work of BKL, I will describe our holographic setup and discuss the peculiar symmetries appearing in this problem.
Posted by: QMW
Wed
30 Oct 2024
Multi-trace operators in CFTs
Agnese Bissi
(ICTP)
Abstract:
In this talk I will discuss how to deal with multi-trace operators, in particular in the context of N=4 Super Yang Mills. I will review their relevance in computing holographic correlators and discuss recent developments on how to treat them.
In this talk I will discuss how to deal with multi-trace operators, in particular in the context of N=4 Super Yang Mills. I will review their relevance in computing holographic correlators and discuss recent developments on how to treat them.
Posted by: IC2
Wed
30 Oct 2024
Reconstructing Celestial Holography from AdS/CFT
📍 London
Andrew Strominger
(Harvard U.)
Abstract:
Flat space admits a foliation by AdS leaves. One seeks to derive the bulk to boundary dictionary for flat space holography as the uplift of the AdS/CFT dictionary.Over the last year progress on this front has been made by isolating the contribution to bulk amplitudes associated to a single AdS leaf. This has culminated in the construction of a 2D leaf CFT, consisting of a Liouville field, a level one current algebra and a weight -3/2 fermion, which reproduces the bulk tree MHV gluon amplitude. This talk will review these developments.
Flat space admits a foliation by AdS leaves. One seeks to derive the bulk to boundary dictionary for flat space holography as the uplift of the AdS/CFT dictionary.Over the last year progress on this front has been made by isolating the contribution to bulk amplitudes associated to a single AdS leaf. This has culminated in the construction of a 2D leaf CFT, consisting of a Liouville field, a level one current algebra and a weight -3/2 fermion, which reproduces the bulk tree MHV gluon amplitude. This talk will review these developments.
Posted by: andrea
Tue
29 Oct 2024
The Landau Paradigm for Categorical Symmetries
Sakura Schafer-Nameki
(Oxford)
Abstract:
The Landau paradigm of phase transitions states that any continuous (second order) phase transition is a symmetry breaking transition.
Originally this was formulated for symmetries that form groups, e.g. the critical Ising model is the transition between the \(\mathbb{Z}_2\) symmetric and spontaneously broken phases. In recent years a new class of symmetries, called categorical or non-invertible, have emerged in quantum systems – with impact ranging from high energy and condensed matter physics to mathematics, and quantum computing. I will explain how these symmetries generalize the Landau paradigm and how new phases and phase transitions are predicted, which have potential future experimental implementations in cold atom systems.
The Landau paradigm of phase transitions states that any continuous (second order) phase transition is a symmetry breaking transition.
Originally this was formulated for symmetries that form groups, e.g. the critical Ising model is the transition between the \(\mathbb{Z}_2\) symmetric and spontaneously broken phases. In recent years a new class of symmetries, called categorical or non-invertible, have emerged in quantum systems – with impact ranging from high energy and condensed matter physics to mathematics, and quantum computing. I will explain how these symmetries generalize the Landau paradigm and how new phases and phase transitions are predicted, which have potential future experimental implementations in cold atom systems.
Posted by: IC2
Mon
28 Oct 2024
Lonti: Infrared aspects of gravity in asymptotically flat spacetimes
Ana-Maria Raclariu
(King's College London)
Abstract:
These lectures will review recent developments surrounding the infrared sector of gravity in (3+1)-dimensional asymptotically flat spacetimes (AFS). In the first part of the course we will introduce soft theorems which govern the low-energy scattering of massless particles such as photons and gravitons. We will explain how these are related to classical observables known as memory effects and discuss their application to computing infrared-finite collider observables and gravitational waveforms. In the second part, we will introduce the notion of asymptotic or large-gauge symmetries and use it to derive the infinite-dimensional asymptotic symmetry algebra of (3+1)-dimensional AFS, also known as the BMS algebra. We will show that the conservation laws associated with these symmetries are equivalent to the Weinberg soft graviton theorem. Time-permitting, we will discuss some implications of these ideas for non-AdS holography.
These lectures will review recent developments surrounding the infrared sector of gravity in (3+1)-dimensional asymptotically flat spacetimes (AFS). In the first part of the course we will introduce soft theorems which govern the low-energy scattering of massless particles such as photons and gravitons. We will explain how these are related to classical observables known as memory effects and discuss their application to computing infrared-finite collider observables and gravitational waveforms. In the second part, we will introduce the notion of asymptotic or large-gauge symmetries and use it to derive the infinite-dimensional asymptotic symmetry algebra of (3+1)-dimensional AFS, also known as the BMS algebra. We will show that the conservation laws associated with these symmetries are equivalent to the Weinberg soft graviton theorem. Time-permitting, we will discuss some implications of these ideas for non-AdS holography.
Posted by: andrea
Thu
24 Oct 2024
From data to the analytic S-matrix: a Bootstrap fit of pion amplitudes
📍 London
Andrea Guerrieri
(CERN)
Abstract:
In this talk, I will discuss a novel strategy to fit experimental data using an amplitude ansatz satisfying the
constraints of Analyticity, Crossing, Unitarity, and UV completeness. The fit strategy requires both the use of S-matrix
Bootstrap methods and non-convex Particle Swarm Optimization (PSO) techniques.
As a proof of principle, I will focus on \(\pi\pi\) scattering. Using this
procedure, I will show how to construct numerically a full-fledged scattering amplitude that fits the available experimental and lattice data,
and that features all the known QCD spectrum with quantum numbers \(I^G=0^+,1^+\) below 1.4 GeV, plus an additional surprise.
In this talk, I will discuss a novel strategy to fit experimental data using an amplitude ansatz satisfying the
constraints of Analyticity, Crossing, Unitarity, and UV completeness. The fit strategy requires both the use of S-matrix
Bootstrap methods and non-convex Particle Swarm Optimization (PSO) techniques.
As a proof of principle, I will focus on \(\pi\pi\) scattering. Using this
procedure, I will show how to construct numerically a full-fledged scattering amplitude that fits the available experimental and lattice data,
and that features all the known QCD spectrum with quantum numbers \(I^G=0^+,1^+\) below 1.4 GeV, plus an additional surprise.
Posted by: QMW
Wed
23 Oct 2024
TBA
Barak Gabai
(EPFL)
Wed
23 Oct 2024
Bootstrapping Strings
📍 London
Andrea Guerrieri
(CERN)
Abstract:
The numerical S-matrix Bootstrap aims at establishing non-perturbative universal bounds on physical observables that can be extracted from scattering amplitudes in any dimension. In the first part of the talk, I will review our past explorations of the space of supergravity amplitudes and their connection to String/M theory. I will discuss the universal bounds on the first non-universal correction to sugra amplitudes, and how the extremal solution is compatible with clustering in the Born regime, and with the Quantum Regge growth hypothesis. In the second part of the talk I will report on a first Bootstrap exploration of multi-particle scattering. I will focus on the simplest non-integrable S-matrix describing the scattering of branons on the world-sheet of confining strings in three dimensions.
The numerical S-matrix Bootstrap aims at establishing non-perturbative universal bounds on physical observables that can be extracted from scattering amplitudes in any dimension. In the first part of the talk, I will review our past explorations of the space of supergravity amplitudes and their connection to String/M theory. I will discuss the universal bounds on the first non-universal correction to sugra amplitudes, and how the extremal solution is compatible with clustering in the Born regime, and with the Quantum Regge growth hypothesis. In the second part of the talk I will report on a first Bootstrap exploration of multi-particle scattering. I will focus on the simplest non-integrable S-matrix describing the scattering of branons on the world-sheet of confining strings in three dimensions.
Posted by: andrea
Tue
22 Oct 2024
Singularity theorems for worldvolume energy inequalities
📍 London
Eleni-Alexandra Kontou
(KCL)
Abstract:
The original singularity theorems of Penrose and Hawking have, in their hypotheses, pointwise energy conditions violated by some classical and all quantum fields. If we want to extend their validity to semiclassical gravity, these conditions have to be replaced by weaker ones. In this talk I will first discuss recent results for singularity theorems with weakened energy conditions, some of which are obeyed by quantum fields. Then I will argue for the need of singularity theorems with worldvolume averaged energy conditions both in the timelike and the null case. For each case I will present progress and open questions.
The original singularity theorems of Penrose and Hawking have, in their hypotheses, pointwise energy conditions violated by some classical and all quantum fields. If we want to extend their validity to semiclassical gravity, these conditions have to be replaced by weaker ones. In this talk I will first discuss recent results for singularity theorems with weakened energy conditions, some of which are obeyed by quantum fields. Then I will argue for the need of singularity theorems with worldvolume averaged energy conditions both in the timelike and the null case. For each case I will present progress and open questions.
Posted by: QMUL2
Tue
22 Oct 2024
Machine Learning in Particle Theory and String Theory
Andre Lukas
(Oxford)
Abstract:
Machine learning and related computational methods have become substantially more powerful and are already applied in many areas of science. In the future, they are likely to change scientific research profoundly. In this talk I will be discussing two ways in which machine learning can be helpful in physics: solving differential equations and model building. I will attempt to explain the basic ideas behind these applications and present some recent examples, including inflationary model building, finding string models with certain prescribed properties and computing the masses of fermions from string theory.
Machine learning and related computational methods have become substantially more powerful and are already applied in many areas of science. In the future, they are likely to change scientific research profoundly. In this talk I will be discussing two ways in which machine learning can be helpful in physics: solving differential equations and model building. I will attempt to explain the basic ideas behind these applications and present some recent examples, including inflationary model building, finding string models with certain prescribed properties and computing the masses of fermions from string theory.
Posted by: IC2
Mon
21 Oct 2024
Lonti: Infrared aspects of gravity in asymptotically flat spacetimes
Ana-Maria Raclariu
(King's College London)
Abstract:
These lectures will review recent developments surrounding the infrared sector of gravity in (3+1)-dimensional asymptotically flat spacetimes (AFS). In the first part of the course we will introduce soft theorems which govern the low-energy scattering of massless particles such as photons and gravitons. We will explain how these are related to classical observables known as memory effects and discuss their application to computing infrared-finite collider observables and gravitational waveforms. In the second part, we will introduce the notion of asymptotic or large-gauge symmetries and use it to derive the infinite-dimensional asymptotic symmetry algebra of (3+1)-dimensional AFS, also known as the BMS algebra. We will show that the conservation laws associated with these symmetries are equivalent to the Weinberg soft graviton theorem. Time-permitting, we will discuss some implications of these ideas for non-AdS holography.
These lectures will review recent developments surrounding the infrared sector of gravity in (3+1)-dimensional asymptotically flat spacetimes (AFS). In the first part of the course we will introduce soft theorems which govern the low-energy scattering of massless particles such as photons and gravitons. We will explain how these are related to classical observables known as memory effects and discuss their application to computing infrared-finite collider observables and gravitational waveforms. In the second part, we will introduce the notion of asymptotic or large-gauge symmetries and use it to derive the infinite-dimensional asymptotic symmetry algebra of (3+1)-dimensional AFS, also known as the BMS algebra. We will show that the conservation laws associated with these symmetries are equivalent to the Weinberg soft graviton theorem. Time-permitting, we will discuss some implications of these ideas for non-AdS holography.
Posted by: andrea
Wed
16 Oct 2024
Spectroscopy of near extremal black holes in EFT extensions of GR
📍 London
Marina David
(KU Leuven)
Abstract:
In this talk, I will show how one can study gravitational perturbations from the near-horizon region of extremal and near-extremal rotating black holes in a general higher-derivative extension of Einstein gravity. I will explain how the near-horizon Teukolsky equation is modified via a correction to the angular separation constant. The near-horizon region also provides constraints on the form of the full modified Teukolsky radial equation, which serve as a stepping stone towards the study of quasinormal modes of near-extremal black holes. In the second part of the talk, I will present a new family of EFT, motivated by preserving two fundamental properties of GR: gravitational waves are non-birefringent, and black hole quasinormal modes are isospectral. This leads to a novel class of EFT extensions, which remarkably, coincides with predictions from string theory and implies a previously unknown feature of string theory effective actions.
In this talk, I will show how one can study gravitational perturbations from the near-horizon region of extremal and near-extremal rotating black holes in a general higher-derivative extension of Einstein gravity. I will explain how the near-horizon Teukolsky equation is modified via a correction to the angular separation constant. The near-horizon region also provides constraints on the form of the full modified Teukolsky radial equation, which serve as a stepping stone towards the study of quasinormal modes of near-extremal black holes. In the second part of the talk, I will present a new family of EFT, motivated by preserving two fundamental properties of GR: gravitational waves are non-birefringent, and black hole quasinormal modes are isospectral. This leads to a novel class of EFT extensions, which remarkably, coincides with predictions from string theory and implies a previously unknown feature of string theory effective actions.
Posted by: andrea
Wed
16 Oct 2024
The entropy of Holographic CFTs at large charge and angular momentum
📍 London
Shiraz Minwalla
(TIFR, Mumbai)
Abstract:
Black holes in AdS\(_d\) (\(d \geq 4\)) are always unstable at large angular momentum and sometimes unstable at large charge. We present proposals for the end points of these instabilities. Our constructions suggest new entropy formulae for \({\cal N}=4\) Yang Mills theory for a range of charges around extremality, and in particular for those that saturate the BPS bound.
Black holes in AdS\(_d\) (\(d \geq 4\)) are always unstable at large angular momentum and sometimes unstable at large charge. We present proposals for the end points of these instabilities. Our constructions suggest new entropy formulae for \({\cal N}=4\) Yang Mills theory for a range of charges around extremality, and in particular for those that saturate the BPS bound.
Posted by: andrea
Tue
15 Oct 2024
Exploring thermal black holes in AdS_5/CFT_4
📍 London
Vasil Dimitrov
(Universita di Torino)
Abstract:
In the first part of the talk I will recap the black hole thermodynamics of a certain non-supersymmetric asymptotically AdS_5 black hole: I will define its asymptotic charges and associated potentials and show some thermodynamic relations between them. Then I will describe the so-called BPS point, where the black hole is extremal (zero temperature) and supersymmetric. Finally, I will show how to approach the vicinity of the BPS point, without exactly landing on it and discuss the significance of this near-BPS limit and its relation to the Schwarzian mode.
In the second part of the talk, I will introduce the holographically dual 4d field theory and describe its basic properties. In particular, I will describe how the supersymmetry breaking (which occurred on the gravity side) can be kept under control on the field theory side. Finally, I will present a preliminary calculation providing a match between the classical gravity partition function and the classical field theory partition function in this thermal setting.
In the first part of the talk I will recap the black hole thermodynamics of a certain non-supersymmetric asymptotically AdS_5 black hole: I will define its asymptotic charges and associated potentials and show some thermodynamic relations between them. Then I will describe the so-called BPS point, where the black hole is extremal (zero temperature) and supersymmetric. Finally, I will show how to approach the vicinity of the BPS point, without exactly landing on it and discuss the significance of this near-BPS limit and its relation to the Schwarzian mode.
In the second part of the talk, I will introduce the holographically dual 4d field theory and describe its basic properties. In particular, I will describe how the supersymmetry breaking (which occurred on the gravity side) can be kept under control on the field theory side. Finally, I will present a preliminary calculation providing a match between the classical gravity partition function and the classical field theory partition function in this thermal setting.
Posted by: QMUL2
Tue
15 Oct 2024
Entanglement and the classification and simulation of many-body systems
Curt von Keyserlingk
(KCL)
Abstract:
In recent years we've expanded our understanding of entanglement in many-body quantum systems; both how it behaves in ground states, and how it grows out-of-equilibrium. Entanglement is very difficult to measure in experiments. But through understanding it better, we've made great progress in classifying quantum phases of matter, and in developing algorithms for efficiently simulating quantum systems. I will review some recent progress in these directions.
In recent years we've expanded our understanding of entanglement in many-body quantum systems; both how it behaves in ground states, and how it grows out-of-equilibrium. Entanglement is very difficult to measure in experiments. But through understanding it better, we've made great progress in classifying quantum phases of matter, and in developing algorithms for efficiently simulating quantum systems. I will review some recent progress in these directions.
Posted by: IC2
Mon
14 Oct 2024
Lonti: Infrared aspects of gravity in asymptotically flat spacetimes
Ana-Maria Raclariu
(King's College London)
Abstract:
These lectures will review recent developments surrounding the infrared sector of gravity in (3+1)-dimensional asymptotically flat spacetimes (AFS). In the first part of the course we will introduce soft theorems which govern the low-energy scattering of massless particles such as photons and gravitons. We will explain how these are related to classical observables known as memory effects and discuss their application to computing infrared-finite collider observables and gravitational waveforms. In the second part, we will introduce the notion of asymptotic or large-gauge symmetries and use it to derive the infinite-dimensional asymptotic symmetry algebra of (3+1)-dimensional AFS, also known as the BMS algebra. We will show that the conservation laws associated with these symmetries are equivalent to the Weinberg soft graviton theorem. Time-permitting, we will discuss some implications of these ideas for non-AdS holography.
These lectures will review recent developments surrounding the infrared sector of gravity in (3+1)-dimensional asymptotically flat spacetimes (AFS). In the first part of the course we will introduce soft theorems which govern the low-energy scattering of massless particles such as photons and gravitons. We will explain how these are related to classical observables known as memory effects and discuss their application to computing infrared-finite collider observables and gravitational waveforms. In the second part, we will introduce the notion of asymptotic or large-gauge symmetries and use it to derive the infinite-dimensional asymptotic symmetry algebra of (3+1)-dimensional AFS, also known as the BMS algebra. We will show that the conservation laws associated with these symmetries are equivalent to the Weinberg soft graviton theorem. Time-permitting, we will discuss some implications of these ideas for non-AdS holography.
Posted by: andrea
Thu
10 Oct 2024
A universal inequality on the unitary 2D CFT partition function
📍 London
Jiaxin Qiao
(EPFL )
Abstract:
We derive a universal inequality on the unitary 2D CFT partition function with general central charge \(c\geqslant 0\), using analytical modular bootstrap. We derive an iterative equation for the domain of validity of the bound on the mixed-temperature plane. The infinite iteration of this equation gives the boundary of maximal-validity domain of our inequality. In the \(c\to\infty\) limit, with additional assumption of having a sparse spectrum below the scaling dimension \(\frac{c}{12}+\varepsilon\) and below the twist \(\frac{\alpha c}{12}\) (with \(\alpha\in(0,1]\) fixed), our inequality implies that the grand-canonical free energy has universal large-c behavior in the maximal-validity domain, which does not encompass the entire mixed-temperature phase diagram, except in the case of \(\alpha = 1\). In particular, we prove the conjecture proposed by Hartman, Keller and Stoica [1405.5137] (the \(\alpha=1\) case): the free energy is universal in the large c limit for all \(\beta_L\beta_R \neq 4\pi^2\).
We derive a universal inequality on the unitary 2D CFT partition function with general central charge \(c\geqslant 0\), using analytical modular bootstrap. We derive an iterative equation for the domain of validity of the bound on the mixed-temperature plane. The infinite iteration of this equation gives the boundary of maximal-validity domain of our inequality. In the \(c\to\infty\) limit, with additional assumption of having a sparse spectrum below the scaling dimension \(\frac{c}{12}+\varepsilon\) and below the twist \(\frac{\alpha c}{12}\) (with \(\alpha\in(0,1]\) fixed), our inequality implies that the grand-canonical free energy has universal large-c behavior in the maximal-validity domain, which does not encompass the entire mixed-temperature phase diagram, except in the case of \(\alpha = 1\). In particular, we prove the conjecture proposed by Hartman, Keller and Stoica [1405.5137] (the \(\alpha=1\) case): the free energy is universal in the large c limit for all \(\beta_L\beta_R \neq 4\pi^2\).
Posted by: QMW
Wed
9 Oct 2024
Toward a microscopic derivation of gauge-string duality
Umut Gursoy
(Utrecht University)
Abstract:
Fundamental questions such as emergence of geometry and gravitational dynamics from QFT amplitudes, barring specific examples, remain unanswered at the full stringy level in gauge-gravity duality. In this talk I will discuss recent progress toward a microscopic approach based on the worldline formulation of QFT. In particular, I will consider large-loop quantum corrections in holographic QFTs where internal propagators of Feynman diagrams are characterized by the Schwinger parameters and argue that embedding of string in the holographic coordinate emerges from the continuum limit of these Schwinger parameters at infinite loop limit. I will demonstrate, employing the techniques of Strebel differentials and discrete exterior calculus, how a worldsheet action for a bosonic string embedded in asymptotically AdS space-time could emerge from multi-loop Feynman graphs in a class of bosonic QFTs. I will end with a discussion of possible loopholes in this approach.
Fundamental questions such as emergence of geometry and gravitational dynamics from QFT amplitudes, barring specific examples, remain unanswered at the full stringy level in gauge-gravity duality. In this talk I will discuss recent progress toward a microscopic approach based on the worldline formulation of QFT. In particular, I will consider large-loop quantum corrections in holographic QFTs where internal propagators of Feynman diagrams are characterized by the Schwinger parameters and argue that embedding of string in the holographic coordinate emerges from the continuum limit of these Schwinger parameters at infinite loop limit. I will demonstrate, employing the techniques of Strebel differentials and discrete exterior calculus, how a worldsheet action for a bosonic string embedded in asymptotically AdS space-time could emerge from multi-loop Feynman graphs in a class of bosonic QFTs. I will end with a discussion of possible loopholes in this approach.
Posted by: IC2
Wed
9 Oct 2024
Non-invertible symmetries and scattering amplitudes
📍 London
Lucia Cordova
(CERN)
Abstract:
We demonstrate that crossing symmetry of S-matrices can be violated in theories with non-invertible symmetries. Focusing on integrable flows to gapped phases in two dimensions, we show that S-matrices derived previously from the bootstrap approach are incompatible with non-invertible symmetries along the flow. We present consistent alternatives, which however violate crossing symmetry and obey modified rules dictated by fusion categories. We also show how these modified crossing rules can be used to constrain the space of amplitudes with a given categorical symmetry.
We demonstrate that crossing symmetry of S-matrices can be violated in theories with non-invertible symmetries. Focusing on integrable flows to gapped phases in two dimensions, we show that S-matrices derived previously from the bootstrap approach are incompatible with non-invertible symmetries along the flow. We present consistent alternatives, which however violate crossing symmetry and obey modified rules dictated by fusion categories. We also show how these modified crossing rules can be used to constrain the space of amplitudes with a given categorical symmetry.
Posted by: andrea
Tue
8 Oct 2024
Non-invertible symmetries and scattering amplitudes
Shota Komatsu
(CERN)
Abstract:
Non-invertible symmetries are refined notions of symmetries intensively studied recently. I will show that non-invertible symmetries sometimes lead to a surprising consequence on scattering amplitudes –- a modification of crossing symmetry. I will demonstrate this using example of integrable field theories in 1+1 dimensions although the argument holds more generally; also for non-integrable theories. I will also present the results of S-matrix bootstrap, which constrains the space of physically consistent scattering amplitudes with categorical symmetries.
Non-invertible symmetries are refined notions of symmetries intensively studied recently. I will show that non-invertible symmetries sometimes lead to a surprising consequence on scattering amplitudes –- a modification of crossing symmetry. I will demonstrate this using example of integrable field theories in 1+1 dimensions although the argument holds more generally; also for non-integrable theories. I will also present the results of S-matrix bootstrap, which constrains the space of physically consistent scattering amplitudes with categorical symmetries.
Posted by: IC2
Mon
7 Oct 2024
Lonti: Infrared aspects of gravity in asymptotically flat spacetimes
Ana-Maria Raclariu
(King's College London)
Abstract:
These lectures will review recent developments surrounding the infrared sector of gravity in (3+1)-dimensional asymptotically flat spacetimes (AFS). In the first part of the course we will introduce soft theorems which govern the low-energy scattering of massless particles such as photons and gravitons. We will explain how these are related to classical observables known as memory effects and discuss their application to computing infrared-finite collider observables and gravitational waveforms. In the second part, we will introduce the notion of asymptotic or large-gauge symmetries and use it to derive the infinite-dimensional asymptotic symmetry algebra of (3+1)-dimensional AFS, also known as the BMS algebra. We will show that the conservation laws associated with these symmetries are equivalent to the Weinberg soft graviton theorem. Time-permitting, we will discuss some implications of these ideas for non-AdS holography.
These lectures will review recent developments surrounding the infrared sector of gravity in (3+1)-dimensional asymptotically flat spacetimes (AFS). In the first part of the course we will introduce soft theorems which govern the low-energy scattering of massless particles such as photons and gravitons. We will explain how these are related to classical observables known as memory effects and discuss their application to computing infrared-finite collider observables and gravitational waveforms. In the second part, we will introduce the notion of asymptotic or large-gauge symmetries and use it to derive the infinite-dimensional asymptotic symmetry algebra of (3+1)-dimensional AFS, also known as the BMS algebra. We will show that the conservation laws associated with these symmetries are equivalent to the Weinberg soft graviton theorem. Time-permitting, we will discuss some implications of these ideas for non-AdS holography.
Posted by: andrea
Thu
3 Oct 2024
Integrability and generalised Chern-Simons theories
📍 London
Lewis Cole
(Swansea university)
Abstract:
Recent developments in the field of integrability include the discovery of higher-dimensional generalised Chern-Simons theories. These theories encode a linear system known as a Lax pair which underpins the integrability of the lower-dimensional theory. We will start with a generous review of these developments before presenting some extensions of this formalism. The applications of these extensions include: integrable deformations (a class of less-symmetric string backgrounds which are nonetheless integrable), stationary axisymmetric general relativity, and gauged WZW models.
Recent developments in the field of integrability include the discovery of higher-dimensional generalised Chern-Simons theories. These theories encode a linear system known as a Lax pair which underpins the integrability of the lower-dimensional theory. We will start with a generous review of these developments before presenting some extensions of this formalism. The applications of these extensions include: integrable deformations (a class of less-symmetric string backgrounds which are nonetheless integrable), stationary axisymmetric general relativity, and gauged WZW models.
Posted by: QMW
Wed
2 Oct 2024
Deriving SymTFTs from geometry
Inaki Garcia Etxebarria
(Durham)
Abstract:
SymTFTs (or, relatedly, the sandwich construction) have emerged recently as a useful way to think of categorical symmetries. I will give a brief description of this construction, and then review recent work on how to obtain the SymTFT data from geometry in the context of geometric engineering.
SymTFTs (or, relatedly, the sandwich construction) have emerged recently as a useful way to think of categorical symmetries. I will give a brief description of this construction, and then review recent work on how to obtain the SymTFT data from geometry in the context of geometric engineering.
Posted by: QMW
Wed
2 Oct 2024
Strings from Feynman Diagrams
📍 London
Edward Mazenc
(ETH)
Abstract:
How are bulk strings related to boundary Feynman diagrams? I will give an overview of my work with Rajesh Gopakumar on deriving the closed string dual to the simplest possible gauge theory, a Hermitian matrix integral. Working in the conventional 't Hooft limit, we extract topological string theories which replace the minimal string away from the double-scaling limit. We show how to exactly reconstruct both the closed string worldsheet and its embedding into the emergent target space, purely from the matrix Feynman diagrams. I'll close by embedding our results in the broader context of AdS/CFT.
How are bulk strings related to boundary Feynman diagrams? I will give an overview of my work with Rajesh Gopakumar on deriving the closed string dual to the simplest possible gauge theory, a Hermitian matrix integral. Working in the conventional 't Hooft limit, we extract topological string theories which replace the minimal string away from the double-scaling limit. We show how to exactly reconstruct both the closed string worldsheet and its embedding into the emergent target space, purely from the matrix Feynman diagrams. I'll close by embedding our results in the broader context of AdS/CFT.
Posted by: andrea
Wed
2 Oct 2024
Non-invertible coset symmetry and fractionalization
📍 London
Po-Shen Hsin
(KCL)
Abstract:
Coset symmetry arises in many systems such as Higgs phases of gauge theories and quantum spin liquids. When the coset is quotient by a non-normal subgroup, coset symmetry becomes a non-invertible symmetry. I will discuss properties of coset non-invertible symmetry and its fractionalization using examples in field theories and lattice models, and comment on the dynamical implication. The talk is based on arXiv: 2405.20401 and work in progress with Ryohei Kobayashi and Carolyn Zhang
Coset symmetry arises in many systems such as Higgs phases of gauge theories and quantum spin liquids. When the coset is quotient by a non-normal subgroup, coset symmetry becomes a non-invertible symmetry. I will discuss properties of coset non-invertible symmetry and its fractionalization using examples in field theories and lattice models, and comment on the dynamical implication. The talk is based on arXiv: 2405.20401 and work in progress with Ryohei Kobayashi and Carolyn Zhang
Posted by: QMW
September 2024
Wed
25 Sep 2024
Asymptotics for subleading soft theorems at all orders
📍 London
Silvia Nagy
(Durham U.)
Abstract:
It is by now well understood how leading soft theorems follow as Ward identities of asymptotic symmetries defined at null infinity. For subleading infrared effects the connection is more subtle, but it turns out that this can be formalised, to all orders in the energy expansion, by adapting the Stuckelberg procedure to construct an extended radiative phase space at null infinity. I will exemplify this with Yang-Mills theory, showing the construction of the extended phase space, as well as the charges corresponding to the subleading soft theorems at all orders. These turn out to satisfy simple recursion relations, and organise themselves into infinite dimensional algebras in certain subsectors.
It is by now well understood how leading soft theorems follow as Ward identities of asymptotic symmetries defined at null infinity. For subleading infrared effects the connection is more subtle, but it turns out that this can be formalised, to all orders in the energy expansion, by adapting the Stuckelberg procedure to construct an extended radiative phase space at null infinity. I will exemplify this with Yang-Mills theory, showing the construction of the extended phase space, as well as the charges corresponding to the subleading soft theorems at all orders. These turn out to satisfy simple recursion relations, and organise themselves into infinite dimensional algebras in certain subsectors.
Posted by: andrea