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Correlation functions in integrable supersymmetric gauge theories: integrability vs. localisation

组织者

沙伊莱什·拉尔 , 李淇明 , 安东·普里比托克 , 侯赛因·亚瓦尔塔努

演讲者

Didina Serban

时间

2026年01月08日 15:00 至 16:30

地点

A7-302

线上

Zoom 388 528 9728 (BIMSA)

摘要

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.