Aspects of Holographic Entanglement Entropy for $T\bar{T}$-deformed CFTs

TL;DR

This paper uses holographic methods to compute entanglement entropy in $Tar{T}$-deformed CFTs, confirming results through direct gravitational action evaluation and Ryu-Takayanagi's prescription across different dimensions.

Contribution

It provides a direct holographic calculation of entanglement entropy in $Tar{T}$-deformed theories, extending previous proposals to explicit bulk computations and general dimensions.

Findings

Agreement with known entanglement entropy results

Validation of holographic proposals through direct calculations

Extension of methods to arbitrary dimensions

Abstract

We use the holographic methods to calculate the entanglement entropy for field theories modified by $T\bar{T}$ 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 CFT$_2$ 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 $T\bar{T}$-deformed theories of arbitrary dimensions. In both cases, we find a perfect agreement with the known results.