BIMSA > Quantum Fields and Strings Group Seminar Correlation functions in integrable supersymmetric gauge theories: integrability vs. localisation
Correlation functions in integrable supersymmetric gauge theories: integrability vs. localisation
Organizers
Shailesh Lal , Kimyeong Lee , Antons Pribitoks , Mohammad Yavartanoo
Speaker
Didina Serban
Time
Thursday, January 8, 2026 3:00 PM - 4:30 PM
Venue
A7-302
Online
Zoom 388 528 9728 (BIMSA)
Abstract
Considerable progress was made in the last few decades in solving strongly interacting supersymmetric gauge theories, guided by dualities with string theory. Two complementary approaches have been particularly useful in the exploration of the quantum structure of these theories: one is supersymmetric localisation and the other is integrability. Very recently it was noticed that common structures appear in both approaches when they are applied to the N=2 super-conformal theory in four dimensions which is obtained as a Z_K orbifold of the N=4 super Yang-Mills (SYM) theory. This hints at a deeper structure underlying both localisation and integrability. A special class of three-point functions in the N=2 SYM theory were computed first by localisation in terms of a Fredholm determinant. The talk, based on a recent collaboration with Gwenaël Ferrando, Shota Komatsu and Gabriel Lefundes, will explain how this result can be derived from the integrability approach to correlation functions, which was developed initially for the N=4 SYM theory and where the Fredholm determinant appears naturally.