English

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

High Energy Physics - Theory 2024-10-10 v1

Abstract

In this work, we investigate the entanglement structure in a TTˉ\textrm{T}\bar{\textrm{T}}-deformed holographic CFT2_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 TTˉ\textrm{T}\bar{\textrm{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.

Keywords

Cite

@article{arxiv.2410.06363,
  title  = {Entanglement, $\textrm{T}\bar{\textrm{T}}$ and rotating black holes},
  author = {Debarshi Basu and Saikat Biswas},
  journal= {arXiv preprint arXiv:2410.06363},
  year   = {2024}
}

Comments

33 pages, 13 figures and 1 appendix