Time : 2022/06/09 (Thu.) 12:30
Title: Integrable field theories from 4d Chern-Simons theory with 2d systems.

Abstract:
Recently, a new approach was proposed by Costello and Yamazaki to realize 2d integrable field
theories from a 4d Chern-Simons (CS) theory.

In this talk, we discuss a derivation of 2d integrable field theories from a 4d CS theory with two 2d systems
by generalizing the procedure developed by Delduc, Lacroix, Magro and Vicedo [arXiv:1909.13824]. As
examples, by employing a certain boundary condition, we will derive massless Thirring model and non-
abelian Toda field theories (NATFTs) which includ the sine-Gordon model and the Liouville theory. After
deriving these models, we can observe that the coupling constant of massless Thirring model and an
anisotropy parameter β^{2} of NATFTs can be identified with the distance between the two 2d systems.
This talk is based mainly on collaborative works [hep-th/2012.07370], [hep-th/2112.11276] with Osamu
Fukushima and Kentaroh Yoshida at Kyoto University.