On holographic Rényi entropy in some modified theories of gravity
Abstract We perform a detailed analysis of holographic entanglement Rényi entropy in some modified theories of gravity with four dimensional conformal field theory duals. First, we construct perturbative black hole solutions in a recently proposed model of Einsteinian cubic gravity in five dimension...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-04-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP04(2018)098 |
| _version_ | 1828531093500854272 |
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| author | Anshuman Dey Pratim Roy Tapobrata Sarkar |
| author_facet | Anshuman Dey Pratim Roy Tapobrata Sarkar |
| author_sort | Anshuman Dey |
| collection | DOAJ |
| description | Abstract We perform a detailed analysis of holographic entanglement Rényi entropy in some modified theories of gravity with four dimensional conformal field theory duals. First, we construct perturbative black hole solutions in a recently proposed model of Einsteinian cubic gravity in five dimensions, and compute the Rényi entropy as well as the scaling dimension of the twist operators in the dual field theory. Consistency of these results are verified from the AdS/CFT correspondence, via a corresponding computation of the Weyl anomaly on the gravity side. Similar analyses are then carried out for three other examples of modified gravity in five dimensions that include a chemical potential, namely Born-Infeld gravity, charged quasi-topological gravity and a class of Weyl corrected gravity theories with a gauge field, with the last example being treated perturbatively. Some interesting bounds in the dual conformal field theory parameters in quasi-topological gravity are pointed out. We also provide arguments on the validity of our perturbative analysis, whenever applicable. |
| first_indexed | 2024-12-11T22:32:43Z |
| format | Article |
| id | doaj.art-2767ef0436724041929cf10e4badb82e |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-11T22:32:43Z |
| publishDate | 2018-04-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-2767ef0436724041929cf10e4badb82e2022-12-22T00:48:04ZengSpringerOpenJournal of High Energy Physics1029-84792018-04-012018413810.1007/JHEP04(2018)098On holographic Rényi entropy in some modified theories of gravityAnshuman Dey0Pratim Roy1Tapobrata Sarkar2Department of Physics, Indian Institute of TechnologyDepartment of Physics, Indian Institute of TechnologyDepartment of Physics, Indian Institute of TechnologyAbstract We perform a detailed analysis of holographic entanglement Rényi entropy in some modified theories of gravity with four dimensional conformal field theory duals. First, we construct perturbative black hole solutions in a recently proposed model of Einsteinian cubic gravity in five dimensions, and compute the Rényi entropy as well as the scaling dimension of the twist operators in the dual field theory. Consistency of these results are verified from the AdS/CFT correspondence, via a corresponding computation of the Weyl anomaly on the gravity side. Similar analyses are then carried out for three other examples of modified gravity in five dimensions that include a chemical potential, namely Born-Infeld gravity, charged quasi-topological gravity and a class of Weyl corrected gravity theories with a gauge field, with the last example being treated perturbatively. Some interesting bounds in the dual conformal field theory parameters in quasi-topological gravity are pointed out. We also provide arguments on the validity of our perturbative analysis, whenever applicable.http://link.springer.com/article/10.1007/JHEP04(2018)098AdS-CFT CorrespondenceBlack Holes in String Theory |
| spellingShingle | Anshuman Dey Pratim Roy Tapobrata Sarkar On holographic Rényi entropy in some modified theories of gravity Journal of High Energy Physics AdS-CFT Correspondence Black Holes in String Theory |
| title | On holographic Rényi entropy in some modified theories of gravity |
| title_full | On holographic Rényi entropy in some modified theories of gravity |
| title_fullStr | On holographic Rényi entropy in some modified theories of gravity |
| title_full_unstemmed | On holographic Rényi entropy in some modified theories of gravity |
| title_short | On holographic Rényi entropy in some modified theories of gravity |
| title_sort | on holographic renyi entropy in some modified theories of gravity |
| topic | AdS-CFT Correspondence Black Holes in String Theory |
| url | http://link.springer.com/article/10.1007/JHEP04(2018)098 |
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