Entanglement, $\textrm{T}\bar{\textrm{T}}$ and rotating black holes
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| Format: | Preprint |
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2024
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| _version_ | 1866912064896761856 |
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| author | Basu, Debarshi Biswas, Saikat |
| author_facet | Basu, Debarshi Biswas, Saikat |
| contents | In this work, we investigate the entanglement structure in a $\textrm{T}\bar{\textrm{T}}$-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 $\textrm{T}\bar{\textrm{T}}$ 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_06363 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Entanglement, $\textrm{T}\bar{\textrm{T}}$ and rotating black holes Basu, Debarshi Biswas, Saikat High Energy Physics - Theory In this work, we investigate the entanglement structure in a $\textrm{T}\bar{\textrm{T}}$-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 $\textrm{T}\bar{\textrm{T}}$ 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. |
| title | Entanglement, $\textrm{T}\bar{\textrm{T}}$ and rotating black holes |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2410.06363 |