Rotating black holes in the FI-gauged N = 2, D = 4 ℂ P ¯ n $$ {\overline{\mathbb{C}\mathrm{P}}}^{\mathrm{n}} $$ model
Abstract We construct supersymmetric black holes with rotation or NUT charge for the ℂ P ¯ n $$ {\overline{\mathbb{C}\mathrm{P}}}^n $$ — and the t3 model of N = 2, D = 4 U(1) FI-gauged supergravity. The solutions preserve 2 real supercharges, which are doubled for their near-horizon geometry. For th...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2019-03-01
|
| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP03(2019)151 |
| _version_ | 1818863485202726912 |
|---|---|
| author | Nicoletta Daniele Federico Faedo Dietmar Klemm Pedro F. Ramírez |
| author_facet | Nicoletta Daniele Federico Faedo Dietmar Klemm Pedro F. Ramírez |
| author_sort | Nicoletta Daniele |
| collection | DOAJ |
| description | Abstract We construct supersymmetric black holes with rotation or NUT charge for the ℂ P ¯ n $$ {\overline{\mathbb{C}\mathrm{P}}}^n $$ — and the t3 model of N = 2, D = 4 U(1) FI-gauged supergravity. The solutions preserve 2 real supercharges, which are doubled for their near-horizon geometry. For the ℂ P ¯ n $$ {\overline{\mathbb{C}\mathrm{P}}}^n $$ model we also present a generalization to the nonextremal case, which turns out to be characterized by a Carter-Plebański-type metric, and has n + 3 independent parameters, corresponding to mass, angular momentum as well as n + 1 magnetic charges. We discuss the thermodynamics of these solutions, obtain a Christodoulou-Ruffini mass formula, and shew that they obey a first law of thermodynamics and that the product of horizon areas depends on the angular momentum and the magnetic charges only. At least some of the BPS black holes that we obtain may become instrumental for future microscopic entropy computations involving a supersymmetric index. |
| first_indexed | 2024-12-19T10:16:30Z |
| format | Article |
| id | doaj.art-c761434e47ab4c899632bd7b98371d29 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-19T10:16:30Z |
| publishDate | 2019-03-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-c761434e47ab4c899632bd7b98371d292022-12-21T20:26:13ZengSpringerOpenJournal of High Energy Physics1029-84792019-03-012019313010.1007/JHEP03(2019)151Rotating black holes in the FI-gauged N = 2, D = 4 ℂ P ¯ n $$ {\overline{\mathbb{C}\mathrm{P}}}^{\mathrm{n}} $$ modelNicoletta Daniele0Federico Faedo1Dietmar Klemm2Pedro F. Ramírez3Dipartimento di Fisica, Università di MilanoDipartimento di Fisica, Università di MilanoDipartimento di Fisica, Università di MilanoINFN, Sezione di MilanoAbstract We construct supersymmetric black holes with rotation or NUT charge for the ℂ P ¯ n $$ {\overline{\mathbb{C}\mathrm{P}}}^n $$ — and the t3 model of N = 2, D = 4 U(1) FI-gauged supergravity. The solutions preserve 2 real supercharges, which are doubled for their near-horizon geometry. For the ℂ P ¯ n $$ {\overline{\mathbb{C}\mathrm{P}}}^n $$ model we also present a generalization to the nonextremal case, which turns out to be characterized by a Carter-Plebański-type metric, and has n + 3 independent parameters, corresponding to mass, angular momentum as well as n + 1 magnetic charges. We discuss the thermodynamics of these solutions, obtain a Christodoulou-Ruffini mass formula, and shew that they obey a first law of thermodynamics and that the product of horizon areas depends on the angular momentum and the magnetic charges only. At least some of the BPS black holes that we obtain may become instrumental for future microscopic entropy computations involving a supersymmetric index.http://link.springer.com/article/10.1007/JHEP03(2019)151AdS-CFT CorrespondenceBlack HolesClassical Theories of GravitySupergravity Models |
| spellingShingle | Nicoletta Daniele Federico Faedo Dietmar Klemm Pedro F. Ramírez Rotating black holes in the FI-gauged N = 2, D = 4 ℂ P ¯ n $$ {\overline{\mathbb{C}\mathrm{P}}}^{\mathrm{n}} $$ model Journal of High Energy Physics AdS-CFT Correspondence Black Holes Classical Theories of Gravity Supergravity Models |
| title | Rotating black holes in the FI-gauged N = 2, D = 4 ℂ P ¯ n $$ {\overline{\mathbb{C}\mathrm{P}}}^{\mathrm{n}} $$ model |
| title_full | Rotating black holes in the FI-gauged N = 2, D = 4 ℂ P ¯ n $$ {\overline{\mathbb{C}\mathrm{P}}}^{\mathrm{n}} $$ model |
| title_fullStr | Rotating black holes in the FI-gauged N = 2, D = 4 ℂ P ¯ n $$ {\overline{\mathbb{C}\mathrm{P}}}^{\mathrm{n}} $$ model |
| title_full_unstemmed | Rotating black holes in the FI-gauged N = 2, D = 4 ℂ P ¯ n $$ {\overline{\mathbb{C}\mathrm{P}}}^{\mathrm{n}} $$ model |
| title_short | Rotating black holes in the FI-gauged N = 2, D = 4 ℂ P ¯ n $$ {\overline{\mathbb{C}\mathrm{P}}}^{\mathrm{n}} $$ model |
| title_sort | rotating black holes in the fi gauged n 2 d 4 c p ¯ n overline mathbb c mathrm p mathrm n model |
| topic | AdS-CFT Correspondence Black Holes Classical Theories of Gravity Supergravity Models |
| url | http://link.springer.com/article/10.1007/JHEP03(2019)151 |
| work_keys_str_mv | AT nicolettadaniele rotatingblackholesinthefigaugedn2d4cpnoverlinemathbbcmathrmpmathrmnmodel AT federicofaedo rotatingblackholesinthefigaugedn2d4cpnoverlinemathbbcmathrmpmathrmnmodel AT dietmarklemm rotatingblackholesinthefigaugedn2d4cpnoverlinemathbbcmathrmpmathrmnmodel AT pedroframirez rotatingblackholesinthefigaugedn2d4cpnoverlinemathbbcmathrmpmathrmnmodel |