标题： 4D Chern-Simons理论与辅助场 显示英文标题

标题： 4D Chern-Simons theory with auxiliary fields

摘要： 辅助场σ模型（AFSM）最近由Ferko和Smith构造为通过引入辅助场和由任意单变量函数给出的势能项对主原像模型的变形。 这个AFSM提供了一个包含原始$T\overline{T}$-变形和根$T\overline{T}$-变形的可积σ模型无限族。 在本文中，我们提出了一种带有辅助场的4D Chern-Simons（CS）理论。 然后通过为规范场和辅助场施加适当的边界条件，从这个CS理论中推导出具有主原像模型扭曲函数的AFSM。 我们还通过变形扭曲函数并修改边界条件来推导出带有Wess-Zumino项的AFSM。 显示英文摘要

摘要： The auxiliary field sigma model (AFSM) has recently been constructed by Ferko and Smith as deformations of the principal chiral model by including auxiliary fields and the potential term given by an arbitrary univariate function. This AFSM provides an infinite family of integrable sigma models including the original $T\overline{T}$-deformation and the root $T\overline{T}$-deformation. In this paper, we propose a 4D Chern-Simons (CS) theory with auxiliary fields. Then the AFSM is derived from this CS theory with the twist function for the principal chiral model by imposing appropriate boundary conditions for the gauge field and auxiliary fields. We also derive the AFSM with the Wess-Zumino term by deforming the twist function and modifying the boundary conditions.