Entanglement phase structure of a holographic BCFT in a black hole background
Abstract We compute holographic entanglement entropy for subregions of a BCFT thermal state living on a nongravitating black hole background. The system we consider is doubly holographic and dual to an eternal black string with an embedded Karch-Randall brane that is parameterized by its angle. Enta...
| Main Authors: | , , , , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2022-05-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP05(2022)153 |
| _version_ | 1811258821072388096 |
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| author | Hao Geng Andreas Karch Carlos Perez-Pardavila Suvrat Raju Lisa Randall Marcos Riojas Sanjit Shashi |
| author_facet | Hao Geng Andreas Karch Carlos Perez-Pardavila Suvrat Raju Lisa Randall Marcos Riojas Sanjit Shashi |
| author_sort | Hao Geng |
| collection | DOAJ |
| description | Abstract We compute holographic entanglement entropy for subregions of a BCFT thermal state living on a nongravitating black hole background. The system we consider is doubly holographic and dual to an eternal black string with an embedded Karch-Randall brane that is parameterized by its angle. Entanglement islands are conventionally expected to emerge at late times to preserve unitarity at finite temperature, but recent calculations at zero temperature have shown such islands do not exist when the brane lies below a critical angle. When working at finite temperature in the context of a black string, we find that islands exist even when the brane lies below the critical angle. We note that although these islands exist when they are needed to preserve unitarity, they are restricted to a finite connected region on the brane which we call the atoll. Depending on two parameters — the size of the subregion and the brane angle — the entanglement entropy either remains constant in time or follows a Page curve. We discuss this rich phase structure in the context of bulk reconstruction. |
| first_indexed | 2024-04-12T18:21:19Z |
| format | Article |
| id | doaj.art-0eac2c0c98034946bd1bfe662269f1ce |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-12T18:21:19Z |
| publishDate | 2022-05-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-0eac2c0c98034946bd1bfe662269f1ce2022-12-22T03:21:26ZengSpringerOpenJournal of High Energy Physics1029-84792022-05-012022513410.1007/JHEP05(2022)153Entanglement phase structure of a holographic BCFT in a black hole backgroundHao Geng0Andreas Karch1Carlos Perez-Pardavila2Suvrat Raju3Lisa Randall4Marcos Riojas5Sanjit Shashi6Department of Physics, Harvard UniversityDepartment of Physics, University of WashingtonTheory Group, Department of Physics, University of TexasInternational Centre for Theoretical Sciences, Tata Institute of Fundamental ResearchDepartment of Physics, Harvard UniversityTheory Group, Department of Physics, University of TexasTheory Group, Department of Physics, University of TexasAbstract We compute holographic entanglement entropy for subregions of a BCFT thermal state living on a nongravitating black hole background. The system we consider is doubly holographic and dual to an eternal black string with an embedded Karch-Randall brane that is parameterized by its angle. Entanglement islands are conventionally expected to emerge at late times to preserve unitarity at finite temperature, but recent calculations at zero temperature have shown such islands do not exist when the brane lies below a critical angle. When working at finite temperature in the context of a black string, we find that islands exist even when the brane lies below the critical angle. We note that although these islands exist when they are needed to preserve unitarity, they are restricted to a finite connected region on the brane which we call the atoll. Depending on two parameters — the size of the subregion and the brane angle — the entanglement entropy either remains constant in time or follows a Page curve. We discuss this rich phase structure in the context of bulk reconstruction.https://doi.org/10.1007/JHEP05(2022)153AdS-CFT CorrespondenceBlack HolesBlack Holes in String Theory |
| spellingShingle | Hao Geng Andreas Karch Carlos Perez-Pardavila Suvrat Raju Lisa Randall Marcos Riojas Sanjit Shashi Entanglement phase structure of a holographic BCFT in a black hole background Journal of High Energy Physics AdS-CFT Correspondence Black Holes Black Holes in String Theory |
| title | Entanglement phase structure of a holographic BCFT in a black hole background |
| title_full | Entanglement phase structure of a holographic BCFT in a black hole background |
| title_fullStr | Entanglement phase structure of a holographic BCFT in a black hole background |
| title_full_unstemmed | Entanglement phase structure of a holographic BCFT in a black hole background |
| title_short | Entanglement phase structure of a holographic BCFT in a black hole background |
| title_sort | entanglement phase structure of a holographic bcft in a black hole background |
| topic | AdS-CFT Correspondence Black Holes Black Holes in String Theory |
| url | https://doi.org/10.1007/JHEP05(2022)153 |
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