Large AdS black holes from QFT
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
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2018
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| _version_ | 1866929500935159808 |
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| author | Choi, Sunjin Kim, Joonho Kim, Seok Nahmgoong, June |
| author_facet | Choi, Sunjin Kim, Joonho Kim, Seok Nahmgoong, June |
| contents | We study the index of $\mathcal{N}=4$ Yang-Mills theory on $S^3\times\mathbb{R}$ at large angular momenta. A generalized Cardy limit exhibits macroscopic entropy at large $N$. Our result is derived using free QFT analysis, and also a background field method on $S^3$. The index sets a lower bound on the entropy. It saturates the Bekenstein-Hawking entropy of known supersymmetric AdS$_5$ black holes, thus accounting for their microstates. We further analyze the so-called Macdonald index, exploring small black holes and possibly new black holes reminiscent of hairy black holes. Finally, we study aspects of large supersymmetric AdS$_7$ black holes, using background field method on $S^5$ and 't Hooft anomalies. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1810_12067 |
| institution | arXiv |
| publishDate | 2018 |
| record_format | arxiv |
| spellingShingle | Large AdS black holes from QFT Choi, Sunjin Kim, Joonho Kim, Seok Nahmgoong, June High Energy Physics - Theory We study the index of $\mathcal{N}=4$ Yang-Mills theory on $S^3\times\mathbb{R}$ at large angular momenta. A generalized Cardy limit exhibits macroscopic entropy at large $N$. Our result is derived using free QFT analysis, and also a background field method on $S^3$. The index sets a lower bound on the entropy. It saturates the Bekenstein-Hawking entropy of known supersymmetric AdS$_5$ black holes, thus accounting for their microstates. We further analyze the so-called Macdonald index, exploring small black holes and possibly new black holes reminiscent of hairy black holes. Finally, we study aspects of large supersymmetric AdS$_7$ black holes, using background field method on $S^5$ and 't Hooft anomalies. |
| title | Large AdS black holes from QFT |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/1810.12067 |