Comments on $\eta$-deformed principal chiral model from 4D Chern-Simons theory
High Energy Physics - Theory
2020-07-15 v3
Abstract
We study -deformations of principal chiral model (PCM) from the viewpoint of a 4D Chern-Simons (CS) theory. The -deformed PCM has originally been derived from the 4D CS theory by Delduc, Lacroix, Magro and Vicedo [arXiv:1909.13824]. The derivation is based on a twist function in the rational description. On the other hand, we start with a twist function in the trigonometric description and discuss possible boundary conditions. We show that a certain boundary condition reproduces the usual -deformed PCM and another one leads to a new kind of Yang-Baxter deformation.
Keywords
Cite
@article{arxiv.2003.07309,
title = {Comments on $\eta$-deformed principal chiral model from 4D Chern-Simons theory},
author = {Osamu Fukushima and Jun-ichi Sakamoto and Kentaroh Yoshida},
journal= {arXiv preprint arXiv:2003.07309},
year = {2020}
}
Comments
45 pages, 1 figure: minor modifications, further clarifications and references added. Matches the published version in NPB