Non-extremal island in de Sitter gravity
Abstract This paper investigates the challenges and resolutions in computing the entanglement entropy for the quantum field theory coupled to de Sitter (dS) gravity along a timelike boundary. The conventional island formula, originally designed to calculate the fine-grained entropy for a non-gravita...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-03-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP03(2025)004 |
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| author | Peng-Xiang Hao Taishi Kawamoto Shan-Ming Ruan Tadashi Takayanagi |
| author_facet | Peng-Xiang Hao Taishi Kawamoto Shan-Ming Ruan Tadashi Takayanagi |
| author_sort | Peng-Xiang Hao |
| collection | DOAJ |
| description | Abstract This paper investigates the challenges and resolutions in computing the entanglement entropy for the quantum field theory coupled to de Sitter (dS) gravity along a timelike boundary. The conventional island formula, originally designed to calculate the fine-grained entropy for a non-gravitational system coupled to anti-de Sitter (AdS) gravity, encounters difficulties in de Sitter gravitational spacetime, failing to provide a physically plausible extremal island. To overcome these problems, we introduce a doubly holographic model by embedding a dS2 braneworld in an AdS3 bulk spacetime. This approach facilitates the computation of entanglement entropy through holographic correlation functions, effectively circumventing the constraints of the island formula. We demonstrate that the correct recipe for calculating entanglement entropy with dS gravity involves the non-extremal island, whose boundary is instead defined at the edge of the dS gravitational region. Our findings indicate that, during the island phase, the entanglement wedge of the non-gravitational bath includes the entire dS gravitational space. Using the second variation formula, we further show that the existence of a locally minimal surface anchored on the gravitational brane is intrinsically linked to the extrinsic curvature of the brane. |
| format | Article |
| id | doaj-art-ce7ac87465a34f03a57aa507e64d15a8 |
| institution | DOAJ |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-ce7ac87465a34f03a57aa507e64d15a82025-08-20T03:06:48ZengSpringerOpenJournal of High Energy Physics1029-84792025-03-012025315310.1007/JHEP03(2025)004Non-extremal island in de Sitter gravityPeng-Xiang Hao0Taishi Kawamoto1Shan-Ming Ruan2Tadashi Takayanagi3Center for Gravitational Physics and Quantum Information, Yukawa Institute for Theoretical Physics, Kyoto UniversityCenter for Gravitational Physics and Quantum Information, Yukawa Institute for Theoretical Physics, Kyoto UniversityCenter for Gravitational Physics and Quantum Information, Yukawa Institute for Theoretical Physics, Kyoto UniversityCenter for Gravitational Physics and Quantum Information, Yukawa Institute for Theoretical Physics, Kyoto UniversityAbstract This paper investigates the challenges and resolutions in computing the entanglement entropy for the quantum field theory coupled to de Sitter (dS) gravity along a timelike boundary. The conventional island formula, originally designed to calculate the fine-grained entropy for a non-gravitational system coupled to anti-de Sitter (AdS) gravity, encounters difficulties in de Sitter gravitational spacetime, failing to provide a physically plausible extremal island. To overcome these problems, we introduce a doubly holographic model by embedding a dS2 braneworld in an AdS3 bulk spacetime. This approach facilitates the computation of entanglement entropy through holographic correlation functions, effectively circumventing the constraints of the island formula. We demonstrate that the correct recipe for calculating entanglement entropy with dS gravity involves the non-extremal island, whose boundary is instead defined at the edge of the dS gravitational region. Our findings indicate that, during the island phase, the entanglement wedge of the non-gravitational bath includes the entire dS gravitational space. Using the second variation formula, we further show that the existence of a locally minimal surface anchored on the gravitational brane is intrinsically linked to the extrinsic curvature of the brane.https://doi.org/10.1007/JHEP03(2025)004de Sitter space2D GravityAdS-CFT CorrespondenceBlack Holes |
| spellingShingle | Peng-Xiang Hao Taishi Kawamoto Shan-Ming Ruan Tadashi Takayanagi Non-extremal island in de Sitter gravity Journal of High Energy Physics de Sitter space 2D Gravity AdS-CFT Correspondence Black Holes |
| title | Non-extremal island in de Sitter gravity |
| title_full | Non-extremal island in de Sitter gravity |
| title_fullStr | Non-extremal island in de Sitter gravity |
| title_full_unstemmed | Non-extremal island in de Sitter gravity |
| title_short | Non-extremal island in de Sitter gravity |
| title_sort | non extremal island in de sitter gravity |
| topic | de Sitter space 2D Gravity AdS-CFT Correspondence Black Holes |
| url | https://doi.org/10.1007/JHEP03(2025)004 |
| work_keys_str_mv | AT pengxianghao nonextremalislandindesittergravity AT taishikawamoto nonextremalislandindesittergravity AT shanmingruan nonextremalislandindesittergravity AT tadashitakayanagi nonextremalislandindesittergravity |