Comments on η-deformed principal chiral model from 4D Chern-Simons theory

Osamu Fukushima; Jun-ichi Sakamoto; Kentaroh Yoshida

Nuclear Physics B (Aug 2020)

Comments on η-deformed principal chiral model from 4D Chern-Simons theory

Osamu Fukushima,
Jun-ichi Sakamoto,
Kentaroh Yoshida

Affiliations

Osamu Fukushima: Department of Physics, Kyoto University, Kyoto 606-8502, Japan; Corresponding author.
Jun-ichi Sakamoto: Department of Physics and Center for Theoretical Sciences, National Taiwan University, Taipei 10617, Taiwan; Osaka City University Advanced Mathematical Institute (OCAMI), 3-3-138, Sugimoto, Sumiyoshi-ku, Osaka, 558-8585, Japan
Kentaroh Yoshida: Department of Physics, Kyoto University, Kyoto 606-8502, Japan

Journal volume & issue: Vol. 957
p. 115080

Abstract

Read online

We study η-deformations of principal chiral model (PCM) from the viewpoint of a 4D Chern-Simons (CS) theory. The η-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 η-deformed PCM and another one leads to a new kind of Yang-Baxter deformation.

Published in Nuclear Physics B

ISSN: 0550-3213 (Print); 1873-1562 (Online)
Publisher: Elsevier
Country of publisher: Netherlands
LCC subjects: Science: Physics: Nuclear and particle physics. Atomic energy. Radioactivity
Website: http://www.journals.elsevier.com/nuclear-physics-b/

About the journal