Black Holes and Theoretical Physics
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Abstract
Abstract
We study the index of $$\mathcal {N}=4$$ Yang–Mills theory on $$S^3\times \mathbb {R}$$ at large angular momenta. A generalized Cardy limit exhibits macroscopic entropy at large N. Our result is derived using free QFT analysis, and also a background field method on $$S^3$$ . The index sets a lower bound on the entropy. It saturates the Bekenstein–Hawking entropy of known supersymmetric AdS $$_5$$ black holes, thus accounting for their microstates. We further analyze the so-called MacDonald index, exploring small black holes and possibly new black holes reminiscent of hairy black holes. Finally, we study aspects of large supersymmetric AdS $$_7$$ black holes, using background field method on $$S^5$$ and ’t Hooft anomalies.
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@article{Choi2026Large,
title = {Large AdS black holes from QFT},
author = {Sunjin Choi and Joonho Kim and Seok Kim and June Nahmgoong},
journal = {Journal of the Korean Physical Society},
year = {2026},
doi = {10.1007/s40042-026-01671-z},
url = {https://doi.org/10.1007/s40042-026-01671-z}
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