The BPS limit of rotating AdS black hole thermodynamics
Abstract We consider rotating, electrically charged, supersymmetric AdS black holes in four, five, six and seven dimensions, and provide a derivation of the respective extremization principles stating that the Bekenstein-Hawking entropy is the Legendre transform of a homogeneous function of chemical...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2019-09-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP09(2019)079 |
| _version_ | 1818212246050832384 |
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| author | Davide Cassani Lorenzo Papini |
| author_facet | Davide Cassani Lorenzo Papini |
| author_sort | Davide Cassani |
| collection | DOAJ |
| description | Abstract We consider rotating, electrically charged, supersymmetric AdS black holes in four, five, six and seven dimensions, and provide a derivation of the respective extremization principles stating that the Bekenstein-Hawking entropy is the Legendre transform of a homogeneous function of chemical potentials, subject to a complex constraint. Extending a recently proposed BPS limit, we start from finite temperature and reach extremality following a supersymmetric trajectory in the space of complexified solutions. We show that the entropy function is the supergravity on-shell action in this limit. Chemical potentials satisfying the extremization equations also emerge from the complexified solution. |
| first_indexed | 2024-12-12T05:45:20Z |
| format | Article |
| id | doaj.art-d306a26ef667409192b48ec2cd5fa0d2 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-12T05:45:20Z |
| publishDate | 2019-09-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-d306a26ef667409192b48ec2cd5fa0d22022-12-22T00:35:48ZengSpringerOpenJournal of High Energy Physics1029-84792019-09-012019914810.1007/JHEP09(2019)079The BPS limit of rotating AdS black hole thermodynamicsDavide Cassani0Lorenzo Papini1INFN, Sezione di PadovaINFN, Sezione di PadovaAbstract We consider rotating, electrically charged, supersymmetric AdS black holes in four, five, six and seven dimensions, and provide a derivation of the respective extremization principles stating that the Bekenstein-Hawking entropy is the Legendre transform of a homogeneous function of chemical potentials, subject to a complex constraint. Extending a recently proposed BPS limit, we start from finite temperature and reach extremality following a supersymmetric trajectory in the space of complexified solutions. We show that the entropy function is the supergravity on-shell action in this limit. Chemical potentials satisfying the extremization equations also emerge from the complexified solution.http://link.springer.com/article/10.1007/JHEP09(2019)079AdS-CFT CorrespondenceBlack Holes in String TheorySupergravity Models |
| spellingShingle | Davide Cassani Lorenzo Papini The BPS limit of rotating AdS black hole thermodynamics Journal of High Energy Physics AdS-CFT Correspondence Black Holes in String Theory Supergravity Models |
| title | The BPS limit of rotating AdS black hole thermodynamics |
| title_full | The BPS limit of rotating AdS black hole thermodynamics |
| title_fullStr | The BPS limit of rotating AdS black hole thermodynamics |
| title_full_unstemmed | The BPS limit of rotating AdS black hole thermodynamics |
| title_short | The BPS limit of rotating AdS black hole thermodynamics |
| title_sort | bps limit of rotating ads black hole thermodynamics |
| topic | AdS-CFT Correspondence Black Holes in String Theory Supergravity Models |
| url | http://link.springer.com/article/10.1007/JHEP09(2019)079 |
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