Island formula in Planck brane
Abstract Double holography offers a profound understanding of the island formula by describing a gravitational system on AdS d coupled to a conformal field theory on ℝ1,d−1, dual to an AdS d+1 spacetime with an end-of-the-world (EOW) brane. In this work, we extend the proposal in [12] by considering...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-11-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP11(2023)006 |
| _version_ | 1797199655320158208 |
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| author | Jing-Cheng Chang Song He Yu-Xiao Liu Long Zhao |
| author_facet | Jing-Cheng Chang Song He Yu-Xiao Liu Long Zhao |
| author_sort | Jing-Cheng Chang |
| collection | DOAJ |
| description | Abstract Double holography offers a profound understanding of the island formula by describing a gravitational system on AdS d coupled to a conformal field theory on ℝ1,d−1, dual to an AdS d+1 spacetime with an end-of-the-world (EOW) brane. In this work, we extend the proposal in [12] by considering that the dual bulk spacetime has two EOW branes: one with a gravitational system and the other with a thermal bath. We demonstrate an equivalence between this proposal and the wedge holographic theory. We examine it in both Anti-de Sitter gravity and de Sitter gravity by calculating the entanglement entropy of the Hawking radiation. Finally, we employ the doubly holographic model to verify the formula for the entanglement entropy in a subregion within conformally flat spacetime. |
| first_indexed | 2024-03-11T12:44:23Z |
| format | Article |
| id | doaj.art-14d91625da0d404c9e0f823f5e21a4b3 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-24T07:19:12Z |
| publishDate | 2023-11-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-14d91625da0d404c9e0f823f5e21a4b32024-04-21T11:06:23ZengSpringerOpenJournal of High Energy Physics1029-84792023-11-0120231113310.1007/JHEP11(2023)006Island formula in Planck braneJing-Cheng Chang0Song He1Yu-Xiao Liu2Long Zhao3Key Laboratory for Quantum Theory and Applications of MoE, Lanzhou UniversityCenter for Theoretical Physics and College of Physics, Jilin UniversityKey Laboratory for Quantum Theory and Applications of MoE, Lanzhou UniversityCenter for Theoretical Physics and College of Physics, Jilin UniversityAbstract Double holography offers a profound understanding of the island formula by describing a gravitational system on AdS d coupled to a conformal field theory on ℝ1,d−1, dual to an AdS d+1 spacetime with an end-of-the-world (EOW) brane. In this work, we extend the proposal in [12] by considering that the dual bulk spacetime has two EOW branes: one with a gravitational system and the other with a thermal bath. We demonstrate an equivalence between this proposal and the wedge holographic theory. We examine it in both Anti-de Sitter gravity and de Sitter gravity by calculating the entanglement entropy of the Hawking radiation. Finally, we employ the doubly holographic model to verify the formula for the entanglement entropy in a subregion within conformally flat spacetime.https://doi.org/10.1007/JHEP11(2023)006AdS-CFT CorrespondenceBlack Holesde Sitter space |
| spellingShingle | Jing-Cheng Chang Song He Yu-Xiao Liu Long Zhao Island formula in Planck brane Journal of High Energy Physics AdS-CFT Correspondence Black Holes de Sitter space |
| title | Island formula in Planck brane |
| title_full | Island formula in Planck brane |
| title_fullStr | Island formula in Planck brane |
| title_full_unstemmed | Island formula in Planck brane |
| title_short | Island formula in Planck brane |
| title_sort | island formula in planck brane |
| topic | AdS-CFT Correspondence Black Holes de Sitter space |
| url | https://doi.org/10.1007/JHEP11(2023)006 |
| work_keys_str_mv | AT jingchengchang islandformulainplanckbrane AT songhe islandformulainplanckbrane AT yuxiaoliu islandformulainplanckbrane AT longzhao islandformulainplanckbrane |