Finite $N$ black hole cohomologies
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
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2023
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| _version_ | 1866912048774905856 |
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| author | Choi, Jaehyeok Choi, Sunjin Kim, Seok Lee, Jehyun Lee, Siyul |
| author_facet | Choi, Jaehyeok Choi, Sunjin Kim, Seok Lee, Jehyun Lee, Siyul |
| contents | We study new cohomologies for the BPS operators of the $\mathcal{N}=4$ Yang-Mills theory with $SU(3)$ and $SU(4)$ gauge groups, to better understand the black hole microstates. We first study the index of these black hole operators and identify their apparent threshold levels. For $SU(3)$, we find many towers of states and partial no-hair behaviors. We explicitly construct the threshold cohomology in the $SU(3)$ theory. We study throughout this paper a subsector of the field theory corresponding to the BMN matrix theory. We also argue that the BMN sector exhibits a black hole like entropy growth at large $N$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_16443 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Finite $N$ black hole cohomologies Choi, Jaehyeok Choi, Sunjin Kim, Seok Lee, Jehyun Lee, Siyul High Energy Physics - Theory We study new cohomologies for the BPS operators of the $\mathcal{N}=4$ Yang-Mills theory with $SU(3)$ and $SU(4)$ gauge groups, to better understand the black hole microstates. We first study the index of these black hole operators and identify their apparent threshold levels. For $SU(3)$, we find many towers of states and partial no-hair behaviors. We explicitly construct the threshold cohomology in the $SU(3)$ theory. We study throughout this paper a subsector of the field theory corresponding to the BMN matrix theory. We also argue that the BMN sector exhibits a black hole like entropy growth at large $N$. |
| title | Finite $N$ black hole cohomologies |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2312.16443 |