Abstract
We study the large N matrix model for the index of 4d \( \mathcal{N} \) = 4 Yang-Mills theory and its truncations to understand the dual AdS5 black holes. Numerical studies of the truncated models provide insights on the black hole physics, some of which we investigate analytically with the full Yang-Mills matrix model. In particular, we find many branches of saddle points which describe the known black hole solutions. We analytically construct the saddle points dual to the small black holes whose sizes are much smaller than the AdS radius. They include the asymptotically flat BMPV black holes embedded in large AdS with novel thermodynamic instabilities.
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Acknowledgments
We thank Dongmin Gang, Eunwoo Lee, June Nahmgoong, Jun Nian and especially Shiraz Minwalla for helpful discussions related to this project. This work is supported in part by the National Research Foundation (NRF) of Korea Grant 2018R1A2B6004914 (SC, SK), NRF-2017-Global Ph.D. Fellowship Program (SC), a KIAS Individual Grant PG081602 at Korea Institute for Advanced Study (SC), CERN and CKC fellowship (SJ), the US Department of Energy under grant DE-SC0010008 (SJ), and the NRF grant 2021R1A2C2012350 (SK).
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Choi, S., Jeong, S. & Kim, S. The Yang-Mills duals of small AdS black holes. J. High Energ. Phys. 2024, 67 (2024). https://doi.org/10.1007/JHEP07(2024)067
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DOI: https://doi.org/10.1007/JHEP07(2024)067