Abstract
In this article we probe the proposed holographic duality between \( T\overline{T} \) deformed two dimensional conformal field theory and the gravity theory of AdS3 with a Dirichlet cutoff by computing correlators of energy-momentum tensor. We focus on the large central charge sector of the \( T\overline{T} \) 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 AdS3 with the corresponding cutoff surface, given a holographic dictionary which identifies gravity parameters with \( T\overline{T} \) CFT parameters.
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ArXiv ePrint: 2005.01693
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Li, Y., Zhou, Y. Cutoff AdS3 versus \( T\overline{T} \) CFT2 in the large central charge sector: correlators of energy-momentum tensor. J. High Energ. Phys. 2020, 168 (2020). https://doi.org/10.1007/JHEP12(2020)168
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DOI: https://doi.org/10.1007/JHEP12(2020)168