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Peer-reviewedCC BY-NC-NDJournal of the Korean Physical Society

Large AdS black holes from QFT

  • Sunjin Choi1,2,3
  • Joonho Kim3
  • Seok Kim1
  • June Nahmgoong1
  1. 1Department of Physics and Astronomy and Center for Theoretical Physics, Seoul National University, 1 Gwanak-ro, Gwanak-gu, Seoul, 08826, Republic of Korea
  2. 2Kavli Institute for the Physics and Mathematics of the Universe (WPI), The University of Tokyo Institutes for Advanced Study, The University of Tokyo, Kashiwa, Chiba, 277-8583, Japan
  3. 3School of Physics, Korea Institute for Advanced Study, 85 Hoegi-ro, Dongdaemun-gu, Seoul, 02455, Republic of Korea
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Abstract

We study the index of 𝒩=4 Yang–Mills theory on S3× 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 S3 . 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 S5 and ’t Hooft anomalies.

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Cite

BibTeXRIS
BibTeX
@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},
  month = jun,
  doi = {10.1007/s40042-026-01671-z},
  url = {https://doi.org/10.1007/s40042-026-01671-z},
  note = {CC BY-NC-ND},
}
RIS
TY  - JOUR
TI  - Large AdS black holes from QFT
AU  - Sunjin Choi
AU  - Joonho Kim
AU  - Seok Kim
AU  - June Nahmgoong
PY  - 2026
DA  - 2026/06/19
JO  - Journal of the Korean Physical Society
DO  - 10.1007/s40042-026-01671-z
UR  - https://doi.org/10.1007/s40042-026-01671-z
AB  - We study the index of 𝒩=4 Yang–Mills theory on S^3× 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.
SN  - 0374-4884
SN  - 1976-8524
ER  -