Heating up holography for single-trace J T ¯ $$ J\overline{T} $$ deformations
Abstract We study thermodynamic aspects of a tractable toy model of holography for extremal Kerr black holes proposed in [1]. On the gravity side, the theory can be described by the worldsheet action of string theory on a warped AdS3 background supported by NS-NS flux. Once we turn on temperature, t...
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SpringerOpen
2020-01-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP01(2020)141 |
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| author | Luis Apolo Wei Song |
| author_facet | Luis Apolo Wei Song |
| author_sort | Luis Apolo |
| collection | DOAJ |
| description | Abstract We study thermodynamic aspects of a tractable toy model of holography for extremal Kerr black holes proposed in [1]. On the gravity side, the theory can be described by the worldsheet action of string theory on a warped AdS3 background supported by NS-NS flux. Once we turn on temperature, the deformed background is described by a black string solution of type IIB supergravity that features a locally warped AdS3 factor. The dual field theory is conjectured to be a single-trace version of a J T ¯ $$ J\overline{T} $$ -deformed CFT at finite temperature. As evidence for the correspondence we show that the spectrum of strings winding on the deformed background agrees with the spectrum of J T ¯ $$ J\overline{T} $$ -deformed CFTs. Furthermore, we show that the gravitational charges of the black string match the averaged charges of a thermal ensemble in the dual field theory. Finally, we reproduce the Bekenstein-Hawking entropy of the black string from the microscopic density of states of J T ¯ $$ J\overline{T} $$ -deformed CFTs. |
| format | Article |
| id | doaj-art-c3de4adb9f8747e8902b97ac15f8a7aa |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-c3de4adb9f8747e8902b97ac15f8a7aa2025-01-26T12:11:16ZengSpringerOpenJournal of High Energy Physics1029-84792020-01-012020114010.1007/JHEP01(2020)141Heating up holography for single-trace J T ¯ $$ J\overline{T} $$ deformationsLuis Apolo0Wei Song1Yau Mathematical Sciences Center, Tsinghua UniversityYau Mathematical Sciences Center, Tsinghua UniversityAbstract We study thermodynamic aspects of a tractable toy model of holography for extremal Kerr black holes proposed in [1]. On the gravity side, the theory can be described by the worldsheet action of string theory on a warped AdS3 background supported by NS-NS flux. Once we turn on temperature, the deformed background is described by a black string solution of type IIB supergravity that features a locally warped AdS3 factor. The dual field theory is conjectured to be a single-trace version of a J T ¯ $$ J\overline{T} $$ -deformed CFT at finite temperature. As evidence for the correspondence we show that the spectrum of strings winding on the deformed background agrees with the spectrum of J T ¯ $$ J\overline{T} $$ -deformed CFTs. Furthermore, we show that the gravitational charges of the black string match the averaged charges of a thermal ensemble in the dual field theory. Finally, we reproduce the Bekenstein-Hawking entropy of the black string from the microscopic density of states of J T ¯ $$ J\overline{T} $$ -deformed CFTs.https://doi.org/10.1007/JHEP01(2020)141AdS-CFT CorrespondenceConformal Field Models in String TheoryIntegrable Field Theories |
| spellingShingle | Luis Apolo Wei Song Heating up holography for single-trace J T ¯ $$ J\overline{T} $$ deformations Journal of High Energy Physics AdS-CFT Correspondence Conformal Field Models in String Theory Integrable Field Theories |
| title | Heating up holography for single-trace J T ¯ $$ J\overline{T} $$ deformations |
| title_full | Heating up holography for single-trace J T ¯ $$ J\overline{T} $$ deformations |
| title_fullStr | Heating up holography for single-trace J T ¯ $$ J\overline{T} $$ deformations |
| title_full_unstemmed | Heating up holography for single-trace J T ¯ $$ J\overline{T} $$ deformations |
| title_short | Heating up holography for single-trace J T ¯ $$ J\overline{T} $$ deformations |
| title_sort | heating up holography for single trace j t ¯ j overline t deformations |
| topic | AdS-CFT Correspondence Conformal Field Models in String Theory Integrable Field Theories |
| url | https://doi.org/10.1007/JHEP01(2020)141 |
| work_keys_str_mv | AT luisapolo heatingupholographyforsingletracejtjoverlinetdeformations AT weisong heatingupholographyforsingletracejtjoverlinetdeformations |