Aspects of holographic entanglement entropy for T(T)over-bar-deformed CFTs

We use the holographic methods to calculate the entanglement entropy for field theories modified by T (T) over bar insertion. Based on the available holographic proposals, this calculation reduces to the holographic computations in AdS with finite cut-off. We perform a direct holographic calculation of the entanglement entropy for two dimensional deformed theory. By direct we mean the evaluation of the gravitational action in the bulk spacetime which has been reconstructed from a dual CFT2 on n-sheeted Riemann surface as a finite cut-off boundary. We also apply Ryu-Takayanagi's prescription to investigate the most general structure of the entanglement entropy for T (T) over bar -deformed theories of arbitrary dimensions. In both cases, we find a perfect agreement with the known results. (C) 2022 The Author(s). Published by Elsevier B.V.

Automated summary

In this paper, we use holographic methods to calculate the entanglement entropy for field theories modified by T (T) over bar insertion. We perform direct holographic calculations for two-dimensional deformed theory and investigate the general structure of the entanglement entropy for T (T) over bar-deformed theories of arbitrary dimensions using Ryu-Takayanagi's prescription. In both cases, we find a perfect agreement with the known results.