Gravitational Cardy Limit and AdS Black Hole Entropy

TL;DR

This paper connects a specific scaling limit in field theory to a gravitational limit in AdS black holes, using near-horizon analysis and Kerr/CFT correspondence to reproduce black hole entropy across multiple dimensions.

Contribution

It introduces a gravitational implementation of the field theory Cardy-like limit, providing a universal microscopic description of AdS black hole entropy in various dimensions.

Findings

Reproduces Bekenstein-Hawking entropy for AdS black holes using Kerr/CFT.

Establishes a gravitational limit corresponding to the field theory Cardy-like scaling.

Provides a universal low-energy framework for understanding AdS black hole microstates.

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.