Reflected entropy in BCFTs on a black hole background
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866911871254134784 |
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| author | Basu, Debarshi Chourasiya, Himanshu Raj, Vinayak Sengupta, Gautam |
| author_facet | Basu, Debarshi Chourasiya, Himanshu Raj, Vinayak Sengupta, Gautam |
| contents | We obtain the reflected entropy for bipartite mixed state configurations involving two disjoint and adjacent subsystems in two dimensional boundary conformal field theories (BCFT$_2$s) in a black hole background. The bulk dual is described by an AdS$_3$ black string geometry truncated by a Karch-Randall brane. The entanglement wedge cross section computed for this geometry matches with the reflected entropy obtained for the BCFT$_2$ verifying the holographic duality. In this context, we also obtain the analogues of the Page curves for the reflected entropy and investigate the behaviour of the Markov gap. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_17023 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Reflected entropy in BCFTs on a black hole background Basu, Debarshi Chourasiya, Himanshu Raj, Vinayak Sengupta, Gautam High Energy Physics - Theory We obtain the reflected entropy for bipartite mixed state configurations involving two disjoint and adjacent subsystems in two dimensional boundary conformal field theories (BCFT$_2$s) in a black hole background. The bulk dual is described by an AdS$_3$ black string geometry truncated by a Karch-Randall brane. The entanglement wedge cross section computed for this geometry matches with the reflected entropy obtained for the BCFT$_2$ verifying the holographic duality. In this context, we also obtain the analogues of the Page curves for the reflected entropy and investigate the behaviour of the Markov gap. |
| title | Reflected entropy in BCFTs on a black hole background |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2311.17023 |