Cutoff AdS(3) versus [Formula: see text] CFT(2) in the large central charge sector: correlators of energy-momentum tensor

In this article we probe the proposed holographic duality between [Formula: see text] deformed two dimensional conformal field theory and the gravity theory of AdS(3) with a Dirichlet cutoff by computing correlators of energy-momentum tensor. We focus on the large central charge sector of the [Formula: see text] 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(3) with the corresponding cutoff surface, given a holographic dictionary which identifies gravity parameters with [Formula: see text] CFT parameters.