Triangle Seminars
Monday, 19 Feb 2024
Lonti: CFTs in Lorentzian signature (4/4)
Petr Kravchuk
(King's)
Abstract:
In these lectures we will discuss various aspects of conformal field theories in Lorentzian signature. First, we will study the general properties of Lorentzian correlation functions, including their global conformal structure and the relation to Euclidean correlators. We will then consider the Regge limit of correlation functions and how this limit requires the introduction of complex spin. We will define complex spin using the Lorentzian inversion formula, and interpret it in terms of non-local light-ray operators. Finally, we will discuss applications of light-ray operators to even shape observables.
In these lectures we will discuss various aspects of conformal field theories in Lorentzian signature. First, we will study the general properties of Lorentzian correlation functions, including their global conformal structure and the relation to Euclidean correlators. We will then consider the Regge limit of correlation functions and how this limit requires the introduction of complex spin. We will define complex spin using the Lorentzian inversion formula, and interpret it in terms of non-local light-ray operators. Finally, we will discuss applications of light-ray operators to even shape observables.
Posted by: andrea
Wednesday, 21 Feb 2024
The Come-back of Carroll
📍 London
Eric Bergshoeff
(University of Groningen)
Abstract:
Carroll symmetries were introduced many years ago by Levy-Leblond and Gupta as a possible contraction of the Lorentz symmetries in which effectively the speed of light is sent to zero. The name was inspired by the bizarre property that Carroll particles cannot move. After many years of silence Carroll symmetries have returned to the stage since they have been recognized as symmetries that do occur in several special situations such as the horizon of a black hole. In this presentation I will discuss some of the basic properties and mysteries of Carroll symmetries.
Carroll symmetries were introduced many years ago by Levy-Leblond and Gupta as a possible contraction of the Lorentz symmetries in which effectively the speed of light is sent to zero. The name was inspired by the bizarre property that Carroll particles cannot move. After many years of silence Carroll symmetries have returned to the stage since they have been recognized as symmetries that do occur in several special situations such as the horizon of a black hole. In this presentation I will discuss some of the basic properties and mysteries of Carroll symmetries.
Posted by: andrea
Dimensionally Reducing Generalized Symmetries from (3+1)-Dimensions
Gabi Zafrir
(University of Haifa)
Abstract:
Recently there has been a renewed interest in the subject of novel types of symmetries, now known as generalized symmetries. An interesting question is what happens to these more general symmetry structures upon compactification to lower dimensions. In this talk, we shall explore this in the context of the compactification of 4d N=1 SCFTs to 2d on spheres.
Recently there has been a renewed interest in the subject of novel types of symmetries, now known as generalized symmetries. An interesting question is what happens to these more general symmetry structures upon compactification to lower dimensions. In this talk, we shall explore this in the context of the compactification of 4d N=1 SCFTs to 2d on spheres.
Posted by: IC2
Thursday, 22 Feb 2024
Twisting integrability
📍 London
Sibylle Driezen
(ETH Zurich)
Abstract:
Recent years have seen an upsurge of interest in deformations of
two-dimensional sigma-models which preserve classical integrability.
Integrability is known to offer powerful techniques for solving such
models exactly, even in complex scenarios such as at strong coupling.
This talk introduces classical integrability, and the role played by
worldsheet dualities in the development of a large family of integrable
deformations. The second part of the talk focuses on the application of
these deformations within the AdS/CFT correspondence, in order to obtain
exact methods for addressing gauge and gravity theories with reduced
Noether (super)symmetries. However, current "AdS/CFT integrability"
methods are mostly restricted to the undeformed, maximally
(super)symmetric instances. To enhance their applicability to a broader
range of theoretical models, the concept of “twisted†AdS/CFT
integrability is introduced, specifically targeting the “Jordanianâ€
subclass of integrable deformations. Recent and ongoing work in this
area will be discussed.
Recent years have seen an upsurge of interest in deformations of
two-dimensional sigma-models which preserve classical integrability.
Integrability is known to offer powerful techniques for solving such
models exactly, even in complex scenarios such as at strong coupling.
This talk introduces classical integrability, and the role played by
worldsheet dualities in the development of a large family of integrable
deformations. The second part of the talk focuses on the application of
these deformations within the AdS/CFT correspondence, in order to obtain
exact methods for addressing gauge and gravity theories with reduced
Noether (super)symmetries. However, current "AdS/CFT integrability"
methods are mostly restricted to the undeformed, maximally
(super)symmetric instances. To enhance their applicability to a broader
range of theoretical models, the concept of “twisted†AdS/CFT
integrability is introduced, specifically targeting the “Jordanianâ€
subclass of integrable deformations. Recent and ongoing work in this
area will be discussed.
Posted by: QMW