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 AdS5 × S5, 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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Acknowledgments
We thank Dongmin Gang, Kimyeong Lee, June Nahmgoong and Jaewon Song for helpful discussions. This work is supported by a KIAS Individual Grant (PG081601) at Korea Institute for Advanced Study (SC), the US Department of Energy under grant DE-SC0010008 (SJ) and the National Research Foundation of Korea (NRF) Grant 2021R1A2C2012350 (SK, EL).
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Choi, S., Jeong, S., Kim, S. et al. Exact QFT duals of AdS black holes. J. High Energ. Phys. 2023, 138 (2023). https://doi.org/10.1007/JHEP09(2023)138
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DOI: https://doi.org/10.1007/JHEP09(2023)138