Precision tests of bulk entanglement entropy
Abstract We consider linear superpositions of single particle excitations in a scalar field theory on AdS 3 and evaluate their contribution to the bulk entanglement entropy across the Ryu-Takayanagi surface. We compare the entanglement entropy of these excitations obtained using the Faulkner-Lewkowy...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2024-10-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP10(2024)189 |
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| author | Barsha G. Chowdhury Justin R. David Semanti Dutta Jyotirmoy Mukherjee |
| author_facet | Barsha G. Chowdhury Justin R. David Semanti Dutta Jyotirmoy Mukherjee |
| author_sort | Barsha G. Chowdhury |
| collection | DOAJ |
| description | Abstract We consider linear superpositions of single particle excitations in a scalar field theory on AdS 3 and evaluate their contribution to the bulk entanglement entropy across the Ryu-Takayanagi surface. We compare the entanglement entropy of these excitations obtained using the Faulkner-Lewkowycz-Maldacena formula to the entanglement entropy of linear superposition of global descendants of a conformal primary in a large c CFT obtained using the replica trick. We show that the closed form expressions for the entanglement entropy in the small interval expansion both in gravity and the CFT precisely agree. The agreement serves as a non-trivial check of the FLM formula for the quantum corrections to holographic entanglement entropy as well as the methods developed in the CFT to evaluate entanglement entropy of descendants. Our checks includes an example in which the state is time dependent and spatially in-homogenous as well another example involving a coherent state with a Bañados geometry as its holographic dual. |
| format | Article |
| id | doaj-art-0cbe9c232313419aacad114e0ed02fbc |
| institution | OA Journals |
| issn | 1029-8479 |
| language | English |
| publishDate | 2024-10-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-0cbe9c232313419aacad114e0ed02fbc2025-08-20T02:30:51ZengSpringerOpenJournal of High Energy Physics1029-84792024-10-0120241017810.1007/JHEP10(2024)189Precision tests of bulk entanglement entropyBarsha G. Chowdhury0Justin R. David1Semanti Dutta2Jyotirmoy Mukherjee3Centre for High Energy Physics, Indian Institute of ScienceCentre for High Energy Physics, Indian Institute of ScienceCentre for High Energy Physics, Indian Institute of ScienceDepartment of Theoretical Physics, Tata Institute of Fundamental ResearchAbstract We consider linear superpositions of single particle excitations in a scalar field theory on AdS 3 and evaluate their contribution to the bulk entanglement entropy across the Ryu-Takayanagi surface. We compare the entanglement entropy of these excitations obtained using the Faulkner-Lewkowycz-Maldacena formula to the entanglement entropy of linear superposition of global descendants of a conformal primary in a large c CFT obtained using the replica trick. We show that the closed form expressions for the entanglement entropy in the small interval expansion both in gravity and the CFT precisely agree. The agreement serves as a non-trivial check of the FLM formula for the quantum corrections to holographic entanglement entropy as well as the methods developed in the CFT to evaluate entanglement entropy of descendants. Our checks includes an example in which the state is time dependent and spatially in-homogenous as well another example involving a coherent state with a Bañados geometry as its holographic dual.https://doi.org/10.1007/JHEP10(2024)189AdS-CFT CorrespondenceScale and Conformal Symmetries |
| spellingShingle | Barsha G. Chowdhury Justin R. David Semanti Dutta Jyotirmoy Mukherjee Precision tests of bulk entanglement entropy Journal of High Energy Physics AdS-CFT Correspondence Scale and Conformal Symmetries |
| title | Precision tests of bulk entanglement entropy |
| title_full | Precision tests of bulk entanglement entropy |
| title_fullStr | Precision tests of bulk entanglement entropy |
| title_full_unstemmed | Precision tests of bulk entanglement entropy |
| title_short | Precision tests of bulk entanglement entropy |
| title_sort | precision tests of bulk entanglement entropy |
| topic | AdS-CFT Correspondence Scale and Conformal Symmetries |
| url | https://doi.org/10.1007/JHEP10(2024)189 |
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