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arXiv · 2312.16443

Finite $N$ black hole cohomologies

Jaehyeok Choi·Sunjin Choi·Seok Kim·Jehyun Lee·Siyul Lee
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Abstract

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 $N$.

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Jaehyeok Choi, Sunjin Choi, Seok Kim, Jehyun Lee, Siyul Lee. 2023-12-27. Finite $N$ black hole cohomologies. https://arxiv.org/abs/2312.16443

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