论文标题
cfts在圆环上的相关功能与$ t \ bar {t} $变形
Correlation functions of the CFTs on torus with $T\bar{T}$ deformation
论文作者
论文摘要
在本文中，我们研究了共形场理论（CFT）与$ t \ bar {t} $在扰动CFT方法方面的变形的相关函数，这是对平面上定义的相关函数的先前研究的扩展。我们系统地获得了对CFTS与$ t \ bar {t} $变形在操作员形式主义和路径积分语言中的相关功能的一阶校正。作为一致性检查，我们计算变形的分区函数，即零点相关函数，直至一阶，这与文献的结果一致。此外，我们获得了与多个$ t $的相关函数的新递归关系，$ \ bar {t} $在torus上的通用cfts中插入。基于递归关系，我们研究了应力张量的一些相关函数，直到$ t \ bar {t} $变形下的一阶。
In this paper, we investigate the correlation functions of the conformal field theory (CFT) with the $T\bar{T}$ deformation on torus in terms of perturbative CFT approach, which is the extension of the previous investigations on correlation functions defined on a plane. We systematically obtain the first order correction to the correlation functions of the CFTs with $T\bar{T}$ deformation in both operator formalism and path integral language. As a consistency check, we compute the deformed partition function, namely the zero-point correlation function, up to the first order, which is consistent with results in literature. Moreover, we obtain a new recursion relation for correlation functions with multiple $T$'s and $\bar{T}$'s insertion in generic CFTs on torus. Base on the recursion relations, we study some correlation functions of stress tensors up to the first order under $T\bar{T}$ deformation.
