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Entropy Functions of BPS Black Holes in AdS4 and AdS6

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Abstract

We find the entropy functions of supersymmetric black holes in AdS4 and AdS6 with electric charges and angular momenta. Extremizing these functions, one obtains the entropies and the chemical potentials of known analytic black hole solutions.

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Acknowledgments

We thank Dongmin Gang, Hee-Cheol Kim, Joonho Kim, Kimyeong Lee and Jaemo Park for helpful discussions. This work is supported in part by the National Research Foundation of Korea (NRF) Grant 2018R1A2B6004914 (SC, SK, JN), NRF-2017-Global Ph.D. Fellowship Program (SC), the ERC-STG grant 637844-HBQFTNCER (CH), the INFN (CH) and Hyundai Motor Chung Mong-Koo Foundation (JN).

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Correspondence to Sunjin Choi, Chiung Hwang, Seok Kim or June Nahmgoong.

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Choi, S., Hwang, C., Kim, S. et al. Entropy Functions of BPS Black Holes in AdS4 and AdS6. J. Korean Phys. Soc. 76, 101–108 (2020). https://doi.org/10.3938/jkps.76.101

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