4pm - 5pm

Tuesday 28 March 2023

2d integrable field theories from 4d Chern-Simons theory

A seminar in the Fields, Strings, and Geometry Group research seminar series.

39 AA 04
University of Surrey


In recent years various unifying frameworks for constructing and understanding 2d integrable field theories have emerged. I will review the framework of Costello and Yamazaki which is based on 4d Chern-Simons gauge theory. In particular, I will explain how it can be used to construct a very broad class of 2d integrable field theories known as integrable E-models. If time permits, I will explain the connection to an alternative framework based on Gaudin models associated with affine Kac-Moody algebras. The talk is based on joint works arXiv:1908.07511, arXiv:1909.13824, arXiv:2008.01829, arXiv:2011.13809 and arXiv:2301.09583.