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arXiv · 2005.10251

Gravitational Cardy Limit and AdS Black Hole Entropy

Marina David·Jun Nian·Leopoldo A. Pando Zayas
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Abstract

We explore the gravitational implementation of the field theory Cardy-like limit recently used in the successful microstate countings of AdS black hole entropy in various dimensions. On the field theory side, the Cardy-like limit focuses on a particular scaling of conserved electric charges and angular momenta, and we first translate this scaling to the gravitational side by a limiting procedure on the black hole parameters. We note that the scaling naturally accompanies a near-horizon region for which these black hole solutions are greatly simplified. Applying the Kerr/CFT correspondence to the near-horizon region, we precisely reproduce the Bekenstein-Hawking entropy of asymptotically AdS$_{4, 5, 6, 7}$ BPS black holes. Our results explicitly provide a microscopic and universal low energy description for AdS black holes across various dimensions.

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Marina David, Jun Nian, Leopoldo A. Pando Zayas. 2020-05-20. Gravitational Cardy Limit and AdS Black Hole Entropy. https://doi.org/10.1007/jhep11(2020)041

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