Timelike entanglement entropy in dS3/CFT2
Abstract In the context of dS3/CFT2, we propose a timelike entanglement entropy defined by the renormalization group flow. This timelike entanglement entropy is calculated in CFT by using the Callan-Symanzik equation. We find an exact match between this entanglement entropy and the length of a timel...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-08-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP08(2023)216 |
| _version_ | 1797647386747600896 |
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| author | Xin Jiang Peng Wang Houwen Wu Haitang Yang |
| author_facet | Xin Jiang Peng Wang Houwen Wu Haitang Yang |
| author_sort | Xin Jiang |
| collection | DOAJ |
| description | Abstract In the context of dS3/CFT2, we propose a timelike entanglement entropy defined by the renormalization group flow. This timelike entanglement entropy is calculated in CFT by using the Callan-Symanzik equation. We find an exact match between this entanglement entropy and the length of a timelike geodesic connecting two different spacelike surfaces in dS3. The counterpart of this entanglement entropy in AdS3 is a spacelike one, also induced by RG flow and extends all the way into the bulk of AdS3. As a result, in both AdS3/CFT2 and dS3/CFT2, there exist exactly three entanglement entropies, providing precisely sufficient information to reconstruct the three-dimensional bulk geometry. |
| first_indexed | 2024-03-11T15:16:33Z |
| format | Article |
| id | doaj.art-2a3a8be92a93479ebdd703eb888d5c7e |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-03-11T15:16:33Z |
| publishDate | 2023-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-2a3a8be92a93479ebdd703eb888d5c7e2023-10-29T12:11:36ZengSpringerOpenJournal of High Energy Physics1029-84792023-08-012023811010.1007/JHEP08(2023)216Timelike entanglement entropy in dS3/CFT2Xin Jiang0Peng Wang1Houwen Wu2Haitang Yang3College of Physics, Sichuan UniversityCollege of Physics, Sichuan UniversityCollege of Physics, Sichuan UniversityCollege of Physics, Sichuan UniversityAbstract In the context of dS3/CFT2, we propose a timelike entanglement entropy defined by the renormalization group flow. This timelike entanglement entropy is calculated in CFT by using the Callan-Symanzik equation. We find an exact match between this entanglement entropy and the length of a timelike geodesic connecting two different spacelike surfaces in dS3. The counterpart of this entanglement entropy in AdS3 is a spacelike one, also induced by RG flow and extends all the way into the bulk of AdS3. As a result, in both AdS3/CFT2 and dS3/CFT2, there exist exactly three entanglement entropies, providing precisely sufficient information to reconstruct the three-dimensional bulk geometry.https://doi.org/10.1007/JHEP08(2023)216AdS-CFT CorrespondenceHolography and Hydrodynamicsde Sitter space |
| spellingShingle | Xin Jiang Peng Wang Houwen Wu Haitang Yang Timelike entanglement entropy in dS3/CFT2 Journal of High Energy Physics AdS-CFT Correspondence Holography and Hydrodynamics de Sitter space |
| title | Timelike entanglement entropy in dS3/CFT2 |
| title_full | Timelike entanglement entropy in dS3/CFT2 |
| title_fullStr | Timelike entanglement entropy in dS3/CFT2 |
| title_full_unstemmed | Timelike entanglement entropy in dS3/CFT2 |
| title_short | Timelike entanglement entropy in dS3/CFT2 |
| title_sort | timelike entanglement entropy in ds3 cft2 |
| topic | AdS-CFT Correspondence Holography and Hydrodynamics de Sitter space |
| url | https://doi.org/10.1007/JHEP08(2023)216 |
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