MS Seminar (Mathematics - String Theory)

Speaker: Benoit Vicedo (University of York)
Title: Affine Gaudin models, 4d Chern-Simons theory and non-ultralocality
Date (JST): Tue, Dec 14, 2021, 17:00 - 18:30
Place: Zoom
Related File: 2755.pdf
Abstract: After recalling the definition of a non-ultralocal classical integrable field theory, I will review how these theories can be thought of as classical Gaudin models associated with affine Kac-Moody algebra. I will also outline how they can be obtained from 4d Chern-Simons theory. I will then explain why this change of perspective is expected to (i) provide a general framework for quantising non-utralocal integrable field theories, and (ii) underly the ODE/IM correspondence for these theories by analogy with the well-understood case of Gaudin models associated with finite-dimensional semisimple Lie algebras.