论文标题

截止$ \ rm ads_3 $ vOtus $ \ rm t \ bar {t} $ $ \ rm cft_2 $在大型中央电荷扇区中:能量 - 莫诺姆张量的相关器

Cutoff $\rm AdS_3$ versus $\rm T\bar{T}$ $\rm CFT_2$ in the large central charge sector: correlators of energy-momentum tensor

论文作者

Li, Yi, Zhou, Yang

论文摘要

在本文中,我们探究了$ t \ bar {t} $之间提出的全息二元性,并通过计算能量 - 莫托姆吨的能量的相关器来形成二维形式的保形场理论和$ \ rm ads_3 $的重力理论。我们专注于欧几里得平面和球体中$ t \ bar {t} $ cft的大型中央电荷扇区,并使用从经典痕量关系中促进的操作员身份来计算能量量张量的相关器。结果与相应的截止表面的经典纯重力计算在$ \ rm ads_3 $中的计算,给定全息词典,该词典以$ t \ bar {t} $ cft参数标识重力参数。

In this article we probe the proposed holographic duality between $T\bar{T}$ deformed two dimensional conformal field theory and the gravity theory of $\rm AdS_3$ with a Dirichlet cutoff by computing correlators of energy-momentum tensor. We focus on the large central charge sector of the $T\bar{T}$ CFT in a Euclidean plane and in a sphere, and compute the correlators of energy-momentum tensor using an operator identity promoted from the classical trace relation. The result agrees with a computation of classical pure gravity in $\rm AdS_3$ with the corresponding cutoff surface, given a holographic dictionary which identifies gravity parameters with $T\bar{T}$ CFT parameters.

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