Li Yi, Zhou Yang
Department of Physics and Center for Field Theory and Particle Physics, Fudan University, Shanghai, 200433 China.
J High Energy Phys. 2020;2020(12):168. doi: 10.1007/JHEP12(2020)168. Epub 2020 Dec 28.
In this article we probe the proposed holographic duality between deformed two dimensional conformal field theory and the gravity theory of AdS with a Dirichlet cutoff by computing correlators of energy-momentum tensor. We focus on the large central charge sector of the CFT in a Euclidean plane and 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 Euclidean AdS with the corresponding cutoff surface, given a holographic dictionary which identifies gravity parameters with CFT parameters.
在本文中，我们通过计算能量 - 动量张量的关联函数，探究了具有狄利克雷截断的二维共形场论变形与反德西特（AdS）引力理论之间所提出的全息对偶性。我们聚焦于欧几里得平面和球面上共形场论（CFT）的大中心荷部分，并利用从经典迹关系推广而来的算符恒等式计算能量 - 动量张量的关联函数。给定一个将引力参数与共形场论参数相联系的全息字典，该结果与具有相应截断面的欧几里得反德西特空间中经典纯引力的计算结果一致。
