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Journal of High Energy Physics

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

Debarshi Basu, Saikat Biswas

Published Mar 21, 2025• 9 citations
Publisher

Abstract

A bstract In this work, we investigate the entanglement structure in a $$\text{T}\overline{\text{T} }$$ -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 $$\text{T}\overline{\text{T} }$$ 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.

DOI
10.1007/jhep03(2025)167

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In this work, we investigate the entanglement structure in a TTˉ\textrm{T}\bar{\textrm{T}}TTˉ-deformed holographic CFT2_22​ 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 TTˉ\textrm{T}\bar{\textrm{T}}TTˉ 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.
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