论文标题
属属在$ t \ bar {t} $变形的CFT中两个相关功能
Genus Two Correlation Functions in CFTs with $T\bar{T}$ Deformation
论文作者
论文摘要
由于文献中弯曲的黎曼表面的$ t \ bar {t} $变形的定义是阻塞性的，因此我们提出了一种通过缝制处方进行两种riemann表面变形的方法。我们构建了在两个riemann表面上使用$ t \ bar {t} $变形在扰动CFT方法方面的相关场理论（CFT）的相关函数。得益于从下部属的缝制构建和形成较高的riemann表面和形成形式的对称性，我们系统地获得了对$ t \ bar {t} $ t {t} $ bar {t} $ bar {t} $ bar {t} $ bar {t} $ profortation proformed cfts中的两个相关功能的第一阶$ t \ bar {t} $校正。
Since the definition of $T\bar{T}$ deformation in the curved Riemann surface is obstructive in the literature, we propose a way to do the deformation in the genus two Riemann surfaces by sewing prescription. We construct the correlation functions of conformal field theories (CFTs) on genus two Riemann surfaces with the $T\bar{T}$ deformation in terms of the perturbative CFT approach. Thanks to sewing construction to form higher genus Riemann surfaces from lower genus ones and conformal symmetry, we systematically obtain the first order $T\bar{T}$ correction to the genus two correlation functions in the $T\bar{T}$ deformed CFTs, e.g., partition function and one/higher-point correlation functions.
