Holographic entanglement entropy for brane-world higher derivative gravity
Abstract Due to the splitting problem, it is difficult to derive the holographic entanglement entropy for general higher derivative gravity. Inspired by double holography and renormalized entanglement entropy, we develop a method to derive the generalized gravitational entropy for the brane-world hi...
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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)015 |
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| author | Rong-Xin Miao Zi-Bing Xie |
| author_facet | Rong-Xin Miao Zi-Bing Xie |
| author_sort | Rong-Xin Miao |
| collection | DOAJ |
| description | Abstract Due to the splitting problem, it is difficult to derive the holographic entanglement entropy for general higher derivative gravity. Inspired by double holography and renormalized entanglement entropy, we develop a method to derive the generalized gravitational entropy for the brane-world higher derivative (BWHD) gravity. Remarkably, this approach is independent of the splitting problem. The so-called BWHD gravity is an effective theory on the brane, given by the counter terms of holographic renormalization. Interestingly, all solutions to Einstein gravity are also solutions to BWHD gravity. We first verify our approach can derive the correct results for curvature-squared gravity and then derive the holographic entanglement entropy for cubic BWHD gravity, which is the main result of this paper. We also derive the entropy of quartic BWHD gravity in flat space with constant extrinsic curvatures and perform several tests on our results. Finally, we briefly comment on our results. |
| format | Article |
| id | doaj-art-03d36dcdb5f8418ca33fd516a9a63ed7 |
| institution | OA Journals |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-03d36dcdb5f8418ca33fd516a9a63ed72025-08-20T02:11:58ZengSpringerOpenJournal of High Energy Physics1029-84792025-03-012025312610.1007/JHEP03(2025)015Holographic entanglement entropy for brane-world higher derivative gravityRong-Xin Miao0Zi-Bing Xie1School of Physics and Astronomy, Sun Yat-Sen UniversitySchool of Physics and Astronomy, Sun Yat-Sen UniversityAbstract Due to the splitting problem, it is difficult to derive the holographic entanglement entropy for general higher derivative gravity. Inspired by double holography and renormalized entanglement entropy, we develop a method to derive the generalized gravitational entropy for the brane-world higher derivative (BWHD) gravity. Remarkably, this approach is independent of the splitting problem. The so-called BWHD gravity is an effective theory on the brane, given by the counter terms of holographic renormalization. Interestingly, all solutions to Einstein gravity are also solutions to BWHD gravity. We first verify our approach can derive the correct results for curvature-squared gravity and then derive the holographic entanglement entropy for cubic BWHD gravity, which is the main result of this paper. We also derive the entropy of quartic BWHD gravity in flat space with constant extrinsic curvatures and perform several tests on our results. Finally, we briefly comment on our results.https://doi.org/10.1007/JHEP03(2025)015AdS-CFT CorrespondenceClassical Theories of Gravity |
| spellingShingle | Rong-Xin Miao Zi-Bing Xie Holographic entanglement entropy for brane-world higher derivative gravity Journal of High Energy Physics AdS-CFT Correspondence Classical Theories of Gravity |
| title | Holographic entanglement entropy for brane-world higher derivative gravity |
| title_full | Holographic entanglement entropy for brane-world higher derivative gravity |
| title_fullStr | Holographic entanglement entropy for brane-world higher derivative gravity |
| title_full_unstemmed | Holographic entanglement entropy for brane-world higher derivative gravity |
| title_short | Holographic entanglement entropy for brane-world higher derivative gravity |
| title_sort | holographic entanglement entropy for brane world higher derivative gravity |
| topic | AdS-CFT Correspondence Classical Theories of Gravity |
| url | https://doi.org/10.1007/JHEP03(2025)015 |
| work_keys_str_mv | AT rongxinmiao holographicentanglemententropyforbraneworldhigherderivativegravity AT zibingxie holographicentanglemententropyforbraneworldhigherderivativegravity |