Entanglement, $\text{T}\bar{\text{T}}$ and rotating black holes

Abstract

In this work, we investigate the entanglement structure in a $\text{T}\bar{\text{T}}$-deformed holographic CFT${}_2$ with a conserved angular momentum. We utilize conformal perturbation theory to compute the leading order correction to the entanglement entropy and the reflected entropy due to the $\text{T}\bar{\text{T}}$ deformation in the limit of large central charge. In the dual bulk perspective described by a rotating BTZ black hole with a finite radial cut-off, we compute the holographic entanglement entropy and the entanglement wedge cross-section and observe perfect agreement with our field theoretic computation for small values of the deformation parameter.

33 pages, 13 figures and 1 appendix