Abstract
We study AdS5 black holes from a recently suggested giant graviton expansion formula for the index of U(N) maximal super-Yang-Mills theory. We compute the large N entropy at fixed charges and giant graviton numbers nI by a saddle point analysis, and further maximize it in nI. This agrees with the dual black hole entropy in the small black hole limit. To get black holes at general sizes, one should note that various giant graviton indices cancel because gauge theory does not suffer from a Hagedorn-like pathology by an infinite baryonic tower. With one assumption on the mechanism of this cancellation, we account for the dual black hole entropy at general sizes. We interpret our results as analytic continuations of the large N free energies of SCFTs, and based on it compute the entropies of AdS4,7 black holes from M5, M2 giant gravitons.
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Acknowledgments
We thank Hee-Cheol Kim, Kimyeong Lee, Jaemo Park and Jaewon Song for helpful discussions. This work is supported in part by a KIAS Individual Grant (PG081601) at Korea Institute for Advanced Study (SC) and the National Research Foundation of Korea (NRF) Grant 2021R1A2C2012350 (SK, EL, JL).
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Choi, S., Kim, S., Lee, E. et al. From giant gravitons to black holes. J. High Energ. Phys. 2023, 86 (2023). https://doi.org/10.1007/JHEP11(2023)086
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DOI: https://doi.org/10.1007/JHEP11(2023)086