Microscopic Entropy of Rotating Electrically Charged AdS$_4$ Black Holes from Field Theory Localization
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arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2019
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| _version_ | 1866917792762036224 |
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| author | Nian, Jun Zayas, Leopoldo A. Pando |
| author_facet | Nian, Jun Zayas, Leopoldo A. Pando |
| contents | We employ supersymmetric localization to determine the exact partition function of 3d $\mathcal{N}=2$ gauge theories on a background given by a round $S^2$ fibered over a circle and certain complexified background fields. The Coulomb branch localization locus includes monopole configurations, and the partition function reduces to a matrix model. We consider the partition function of the ABJM theory on this background as an explicit case. We verify that the large-$N$ limit of the ABJM theory partition function produces, in the Cardy limit, the entropy function of the dual rotating, electrically charged asymptotically AdS$_4$ supersymmetric black holes and thus provides a microscopic explanation for the Bekenstein-Hawking entropy. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1909_07943 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | Microscopic Entropy of Rotating Electrically Charged AdS$_4$ Black Holes from Field Theory Localization Nian, Jun Zayas, Leopoldo A. Pando High Energy Physics - Theory We employ supersymmetric localization to determine the exact partition function of 3d $\mathcal{N}=2$ gauge theories on a background given by a round $S^2$ fibered over a circle and certain complexified background fields. The Coulomb branch localization locus includes monopole configurations, and the partition function reduces to a matrix model. We consider the partition function of the ABJM theory on this background as an explicit case. We verify that the large-$N$ limit of the ABJM theory partition function produces, in the Cardy limit, the entropy function of the dual rotating, electrically charged asymptotically AdS$_4$ supersymmetric black holes and thus provides a microscopic explanation for the Bekenstein-Hawking entropy. |
| title | Microscopic Entropy of Rotating Electrically Charged AdS$_4$ Black Holes from Field Theory Localization |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/1909.07943 |