# Entanglement Entropy for $TT$ deformed CFT in general dimensions

## TL;DR

This paper investigates the effects of a specific stress tensor bilinear deformation on large-N conformal field theories across various dimensions, comparing field theory calculations with holographic dual results to confirm their agreement.

## Contribution

It provides exact computations of partition functions and entanglement entropy for $TT$ deformed CFTs in multiple dimensions, establishing a precise match with holographic predictions.

## Key findings

- Exact entanglement entropy matches holographic results.
- Renormalized entanglement entropy computed in field theory and holography agree.
- Deformation corresponds to a holographic cutoff in $AdS_{d+1}$.

## Abstract

We consider deformation of a generic $d$ dimensional ($d\geq 2$) large-$N$ CFT on a sphere by a spin-0 operator which is bilinear in the components of the stress tensor. Such a deformation has been proposed to be holographically dual to an $AdS_{d+1}$ bulk with a hard radial cut-off. We compute the exact partition function and find the entanglement entropy from the field theory side in various dimensions and compare with the corresponding holographic results. We also compute renormalized entanglement entropy both in field theory and holography and find complete agreement between them.