Abstract
We construct a general asymptotically locally AdS7 stationary black hole solution of 7d maximal gauged supergravity with three angular momenta and two electric charges. When embedded in 11d supergravity the black hole describes the backreaction of N coincident rotating M5-branes. We study the thermodynamic properties of the black hole and present explicit expressions for its entropy, energy, electric charges, and angular momenta. We show that in the supersymmetric limit of the solution its entropy and on-shell action precisely agree with the result for the path integral of the holographically dual 6d \( \mathcal{N} \) = (2, 0) SCFT on S1 × S5 to leading order in the large N limit.
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28 September 2023
An Erratum to this paper has been published: https://doi.org/10.1007/JHEP09(2023)198
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Acknowledgments
We are grateful to Pablo Cano, Davide Cassani, Alejandra Castro, Anthony Charles, Vasko Dimitrov, Robie Hennigar, Seyed Morteza Hosseini, Vincent Min, Valentin Reys, Paul Richmond, and Annelien Vekemans for useful discussions. NB is grateful to Mathew Bullimore and Hee-Cheol Kim for the enjoyable collaboration on [11] and numerous inspiring discussions about the superconformal index. This research is supported by the FWO projects G003523N and G094523N. NB, MD and JH are also supported in part by the KU Leuven C1 grant ZKD1118 C16/16/005 and by Odysseus grant G0F9516N from the FWO. MD is thankful for the hospitality of Benasque where the final stages of writing were completed. RM is supported by David Tong’s Simons Investigator Award and is grateful to KU Leuven for warm hospitality in the early stages of this project.
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Bobev, N., David, M., Hong, J. et al. AdS7 black holes from rotating M5-branes. J. High Energ. Phys. 2023, 143 (2023). https://doi.org/10.1007/JHEP09(2023)143
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DOI: https://doi.org/10.1007/JHEP09(2023)143