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Comments on η-deformed principal chiral model from 4D Chern-Simons theory
Nuclear Physics B ( IF 2.8 ) Pub Date : 2020-06-08 , DOI: 10.1016/j.nuclphysb.2020.115080
Osamu Fukushima , Jun-ichi Sakamoto , Kentaroh Yoshida

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.



中文翻译:

从4D Chern-Simons理论评论η变形主手性模型

我们从4D Chern-Simons(CS)理论的角度研究主手性模型(PCM)的η变形。该η -deformed PCM最初已经从Delduc,拉克鲁瓦,马格罗和Vicedo [:1909.13824的arXiv]四维CS理论推导。该推导基于理性描述中的扭曲函数。另一方面,我们从三角函数描述中的扭曲函数开始,讨论可能的边界条件。我们表明,一定的边界条件可再现通常的η变形PCM,而另一种边界条件会导致一种新型的Yang-Baxter变形。

更新日期:2020-06-08
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