Exact QFT duals of AdS black holes
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2021
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| Subjects: | |
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| _version_ | 1866917903720251392 |
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| author | Choi, Sunjin Jeong, Saebyeok Kim, Seok Lee, Eunwoo |
| author_facet | Choi, Sunjin Jeong, Saebyeok Kim, Seok Lee, Eunwoo |
| contents | We construct large $N$ saddle points of the matrix model for the $\mathcal{N}=4$ Yang-Mills index dual to the BPS black holes in $AdS_5\times S^5$, in two different setups. When the two complex chemical potentials for the angular momenta are collinear, we find linear eigenvalue distributions which solve the large $N$ saddle point equation. When the chemical potentials are not collinear, we find novel solutions given by areal eigenvalue distributions after slightly reformulating the saddle point problem. We also construct a class of multi-cut saddle points, showing that they sometimes admit nontrivial filling fractions. As a byproduct, we find that the Bethe ansatz equation emerges from our saddle point equation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2111_10720 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Exact QFT duals of AdS black holes Choi, Sunjin Jeong, Saebyeok Kim, Seok Lee, Eunwoo High Energy Physics - Theory We construct large $N$ saddle points of the matrix model for the $\mathcal{N}=4$ Yang-Mills index dual to the BPS black holes in $AdS_5\times S^5$, in two different setups. When the two complex chemical potentials for the angular momenta are collinear, we find linear eigenvalue distributions which solve the large $N$ saddle point equation. When the chemical potentials are not collinear, we find novel solutions given by areal eigenvalue distributions after slightly reformulating the saddle point problem. We also construct a class of multi-cut saddle points, showing that they sometimes admit nontrivial filling fractions. As a byproduct, we find that the Bethe ansatz equation emerges from our saddle point equation. |
| title | Exact QFT duals of AdS black holes |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2111.10720 |