Calibrated entanglement entropy
Abstract The Ryu-Takayanagi prescription reduces the problem of calculating entanglement entropy in CFTs to the determination of minimal surfaces in a dual anti-de Sitter geometry. For 3D gravity theories and BTZ black holes, we identify the minimal surfaces as special Lagrangian cycles calibrated b...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2017-07-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP07(2017)117 |
| _version_ | 1811331510858416128 |
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| author | I. Bakhmatov N. S. Deger J. Gutowski E. Ó Colgáin H. Yavartanoo |
| author_facet | I. Bakhmatov N. S. Deger J. Gutowski E. Ó Colgáin H. Yavartanoo |
| author_sort | I. Bakhmatov |
| collection | DOAJ |
| description | Abstract The Ryu-Takayanagi prescription reduces the problem of calculating entanglement entropy in CFTs to the determination of minimal surfaces in a dual anti-de Sitter geometry. For 3D gravity theories and BTZ black holes, we identify the minimal surfaces as special Lagrangian cycles calibrated by the real part of the holomorphic one-form of a spacelike hypersurface. We show that (generalised) calibrations provide a unified way to determine holographic entanglement entropy from minimal surfaces, which is applicable to warped AdS3 geometries. We briefly discuss generalisations to higher dimensions. |
| first_indexed | 2024-04-13T16:21:38Z |
| format | Article |
| id | doaj.art-318d070ec783437294b999e672116d85 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-13T16:21:38Z |
| publishDate | 2017-07-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-318d070ec783437294b999e672116d852022-12-22T02:39:54ZengSpringerOpenJournal of High Energy Physics1029-84792017-07-012017712210.1007/JHEP07(2017)117Calibrated entanglement entropyI. Bakhmatov0N. S. Deger1J. Gutowski2E. Ó Colgáin3H. Yavartanoo4Asia Pacific Center for Theoretical Physics, PostechDepartment of Mathematics, Bogazici UniversityDepartment of Mathematics, University of Surrey GuildfordAsia Pacific Center for Theoretical Physics, PostechState Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of SciencesAbstract The Ryu-Takayanagi prescription reduces the problem of calculating entanglement entropy in CFTs to the determination of minimal surfaces in a dual anti-de Sitter geometry. For 3D gravity theories and BTZ black holes, we identify the minimal surfaces as special Lagrangian cycles calibrated by the real part of the holomorphic one-form of a spacelike hypersurface. We show that (generalised) calibrations provide a unified way to determine holographic entanglement entropy from minimal surfaces, which is applicable to warped AdS3 geometries. We briefly discuss generalisations to higher dimensions.http://link.springer.com/article/10.1007/JHEP07(2017)117AdS-CFT CorrespondenceGauge-gravity correspondenceHolography and condensed matter physics (AdS/CMT) |
| spellingShingle | I. Bakhmatov N. S. Deger J. Gutowski E. Ó Colgáin H. Yavartanoo Calibrated entanglement entropy Journal of High Energy Physics AdS-CFT Correspondence Gauge-gravity correspondence Holography and condensed matter physics (AdS/CMT) |
| title | Calibrated entanglement entropy |
| title_full | Calibrated entanglement entropy |
| title_fullStr | Calibrated entanglement entropy |
| title_full_unstemmed | Calibrated entanglement entropy |
| title_short | Calibrated entanglement entropy |
| title_sort | calibrated entanglement entropy |
| topic | AdS-CFT Correspondence Gauge-gravity correspondence Holography and condensed matter physics (AdS/CMT) |
| url | http://link.springer.com/article/10.1007/JHEP07(2017)117 |
| work_keys_str_mv | AT ibakhmatov calibratedentanglemententropy AT nsdeger calibratedentanglemententropy AT jgutowski calibratedentanglemententropy AT eocolgain calibratedentanglemententropy AT hyavartanoo calibratedentanglemententropy |