Triangle Seminars
Monday, 1 Mar 2021
Lonti: From spin chain to AdS/CFT with Mathematica
Nikolay Gromov
(KCL)
Abstract:
The release of the youtube video for the London Theory institute seminar series https://youtu.be/jTRQTwBX9ek. In this introductory lecture we describe the XXX Heisenberg spin chain, study its spectrum, wavefunctions and discuss integrability of the system.
Some examples are given with simple Mathematica code.
We also discuss applications to AdS/CFT correspondence.
Some derivations are formulated in the form of step-by-step exercises.
They can be solved either with Mathematica or by hand.
A quick introduction to Mathematica is provided in a separate video.
The release of the youtube video for the London Theory institute seminar series https://youtu.be/jTRQTwBX9ek. In this introductory lecture we describe the XXX Heisenberg spin chain, study its spectrum, wavefunctions and discuss integrability of the system.
Some examples are given with simple Mathematica code.
We also discuss applications to AdS/CFT correspondence.
Some derivations are formulated in the form of step-by-step exercises.
They can be solved either with Mathematica or by hand.
A quick introduction to Mathematica is provided in a separate video.
Posted by: pethybridge
Tuesday, 2 Mar 2021
PBHs and Gravitational Waves
Antonio Riotto
(Geneva University)
Abstract:
We will discuss the relation between primordial black holes and gravitational waves in the view of the recent Ligo/Virgo and NanoGrav data.
[please email a.held@imperial.ac.uk for zoom link or password]
We will discuss the relation between primordial black holes and gravitational waves in the view of the recent Ligo/Virgo and NanoGrav data.
[please email a.held@imperial.ac.uk for zoom link or password]
Posted by: IC
Wednesday, 3 Mar 2021
Where is String Theory?
📍 London
Pedro Vieira
(Perimeter Institute)
Abstract:
The S-matrix bootstrap can be used to carve out the space of physical theories. What can we say about the space of theories of quantum gravity based on this approach? Based on work with Andrea Guerrieri and Joao Penedones. Zoom link: https://zoom.us/j/94504664165?pwd=c3VmMDNsbkRwWWdoUUxIRDhUcjB4dz09 (for password email dionysios.anninos@kcl.ac.uk)
The S-matrix bootstrap can be used to carve out the space of physical theories. What can we say about the space of theories of quantum gravity based on this approach? Based on work with Andrea Guerrieri and Joao Penedones. Zoom link: https://zoom.us/j/94504664165?pwd=c3VmMDNsbkRwWWdoUUxIRDhUcjB4dz09 (for password email dionysios.anninos@kcl.ac.uk)
Posted by: oxford
Hyperbolic compactification of M-theory and de Sitter quantum gravity
📍 London
Gonzalo Torroba
(Centro Atomico Bariloche )
Abstract:
In this talk we will present a mechanism for accelerated expansion of the universe in the generic case of negative-curvature compactifications of M-theory, with minimal ingredients. M-theory on a hyperbolic manifold with small closed geodesics supporting Casimir energy, along with a single classical source (7-form flux), contains a 3-term structure for volume stabilization at positive potential energy. We find that a combination of warping and hyperbolic rigidity effects can stabilize the metric and form field. A simple generalization incorporating 4-form flux produces axion monodromy inflation, along with other forms of accelerated expansion. Our approach provides a simple uplift of the large-N M2-brane theory to de Sitter, and introduces new connections between mathematics and the physics of string/M theory compactifications. Zoom link: https://zoom.us/j/94504664165?pwd=c3VmMDNsbkRwWWdoUUxIRDhUcjB4dz09 (for password email dionysios.anninos@kcl.ac.uk)
In this talk we will present a mechanism for accelerated expansion of the universe in the generic case of negative-curvature compactifications of M-theory, with minimal ingredients. M-theory on a hyperbolic manifold with small closed geodesics supporting Casimir energy, along with a single classical source (7-form flux), contains a 3-term structure for volume stabilization at positive potential energy. We find that a combination of warping and hyperbolic rigidity effects can stabilize the metric and form field. A simple generalization incorporating 4-form flux produces axion monodromy inflation, along with other forms of accelerated expansion. Our approach provides a simple uplift of the large-N M2-brane theory to de Sitter, and introduces new connections between mathematics and the physics of string/M theory compactifications. Zoom link: https://zoom.us/j/94504664165?pwd=c3VmMDNsbkRwWWdoUUxIRDhUcjB4dz09 (for password email dionysios.anninos@kcl.ac.uk)
Posted by: oxford
Thursday, 4 Mar 2021
Ten dimensional hidden symmetry of N=4 SYM
Frank Coronado
(McGill University)
Abstract:
I will present a generating function for the loop-integrands of all four-point functions of protected single-trace operators in \(\mathcal{N}=4\) SYM. This function enjoys a ten-dimensional symmetry that combines spacetime and the internal R-charge symmetries. By considering a 10D light-like limit I will establish a relationship between the simplest four-point correlators (octagons) and four-particle amplitudes. –- Part of the London Integrability Journal Club. If you are a new participant, please register using the form at
integrability-london.weebly.com. The link will be emailed.
I will present a generating function for the loop-integrands of all four-point functions of protected single-trace operators in \(\mathcal{N}=4\) SYM. This function enjoys a ten-dimensional symmetry that combines spacetime and the internal R-charge symmetries. By considering a 10D light-like limit I will establish a relationship between the simplest four-point correlators (octagons) and four-particle amplitudes. –- Part of the London Integrability Journal Club. If you are a new participant, please register using the form at
integrability-london.weebly.com. The link will be emailed.
Posted by: andrea