Speaker
Benoit Vicedo
(University of York)
Description
4d Chern-Simons theory, proposed and studied by Costello, Witten and Yamazaki, provides a gauge-theoretic origin of many integrable lattice models and a very broad family of 2d integrable field theories, including those arising as Gaudin models associated with affine Kac-Moody algebras. In this talk I will describe how 3d mixed BF theory provides a similar gauge-theoretic origin for the Gaudin model associated with a finite-dimensional Lie algebra or more generally for Hitchin's integrable system.
Based on joint work arXiv:2201.07300 with J. Winstone.