论文标题

关于4D Chern-Simons理论的$η$ $η$的主要手性模型的评论

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

论文作者

Fukushima, Osamu, Sakamoto, Jun-ichi, Yoshida, Kentaroh

论文摘要

我们从4D Chern-Simons(CS)理论的角度研究了主要手性模型(PCM)的$η$ - 定性。 $η$ formed的PCM最初是由Delduc,Lacroix,Magro和Vicedo [Arxiv:1909.13824]得出的4D CS理论。该推导基于有理描述中的扭曲函数。另一方面,我们从三角描述中的扭转函数开始,并讨论可能的边界条件。我们表明,一定的边界条件再现了通常的$η$ formed PCM,而另一种则导致一种新型的Yang-baxter变形。

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.

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