BIMSA >
Quantum Fields and Strings Group Journal Club and Seminar
On beta-function and dual description of 2D deformed integrable sigma models
On beta-function and dual description of 2D deformed integrable sigma models
Organizer
Speaker
Time
Thursday, September 26, 2024 3:00 PM - 4:00 PM
Venue
A3-4-101
Online
Zoom 462 110 5973
(BIMSA)
Abstract
There exist several known examples of integrable deformations of 2D sigma models, which admit so-called dual description in terms of Toda-like theories. For such deformations we describe the system of screening charges depending on continuous parameter b, which defines the deformed sigma model in the limit b to infinity and a certain Toda QFT in the limit b to zero. In the sigma model regime it can be shown that the leading UV asymptotic of the deformed model coincides with a perturbed Gaussian theory. We demonstrate this by studying the RG flow of deformed O(N), OSp(N|2m) and N=2 supersymmetric sigma models. In the perturbative regime b to 0 one can see that the two-particle scattering matrix matches the expansion of the corresponding deformed sigma model trigonometric S-matrix. We illustrate the above description with the examples of O(N) and OSp(N|2m) cases.
Speaker Intro
Mikhail Alfimov received his PhD at Ecole Normale Superieure Paris in 2018 under the supervision of Prof. Vladimir Kazakov and Prof. Gregory Korchemsky. Currently he is an Associate Professor at the HSE University and Moscow Engineering-Physical Institute and a Research Fellow at the P.N. Lebedev Physical Institute of the Russian Academy of Sciences. His research is concentrated on the study of integrable quantum field theories, especially sigma models.