Black hole microstates in AdS

TL;DR

This paper generalizes the Cardy formula to higher dimensions with angular momentum and charge, successfully deriving the entropy of various AdS black holes and branes, including corrections, thus extending Strominger's microscopic approach.

Contribution

It introduces a higher-dimensional Cardy formula including angular momentum and charge, applicable to a broad class of AdS black objects, with consistency checks against Bekenstein-Hawking entropy.

Findings

Derived entropy formulas for rotating and charged AdS black holes.

Extended Cardy formula to include hyperscaling violation and logarithmic corrections.

Confirmed agreement with Bekenstein-Hawking entropy for various black branes and black holes.

Abstract

We extend a recently derived higher-dimensional Cardy formula to include angular momenta, which we use to obtain the Bekensten-Hawking entropy of AdS black branes, compactified rotating branes, and large Schwarzschild/Kerr black holes. This is the natural generalization of Strominger's microscopic derivation of the BTZ black hole entropy to higher dimensions. We propose an extension to include $U(1)$ charge, which agrees with the Bekenstein-Hawking entropy of large Reissner-Nordstrom/Kerr-Newman black holes at high temperature. We extend the results to arbitrary hyperscaling violation exponent (this captures the case of black D$p$-branes as a subclass) and reproduce logarithmic corrections.