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arXiv · 2111.10720

Exact QFT duals of AdS black holes

Sunjin Choi·Saebyeok Jeong·Seok Kim·Eunwoo Lee
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Abstract

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.

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Sunjin Choi, Saebyeok Jeong, Seok Kim, Eunwoo Lee. 2025-01-27. Exact QFT duals of AdS black holes. https://doi.org/10.1007/jhep09(2023)138

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