Black Hole Entropy from Near-Horizon Microstates

TL;DR

This paper microscopically derives black hole entropy for near-horizon geometries resembling AdS3 using conformal field theory, achieving precise agreement with the Bekenstein-Hawking formula without relying on string theory or supersymmetry.

Contribution

It provides a universal microscopic calculation of black hole entropy for AdS3-like horizons, independent of string theory or supersymmetry.

Findings

Exact numerical match with Bekenstein-Hawking entropy

Applicable to any consistent quantum gravity theory

Uses conformal field theory on AdS3 backgrounds

Abstract

Black holes whose near-horizon geometries are locally, but not necessarily globally, AdS$_3$ (three-dimensional anti-de Sitter space) are considered. Using the fact that quantum gravity on AdS$_3$ is a conformal field theory, we microscopically compute the black hole entropy from the asymptotic growth of states. Precise numerical agreement with the Bekenstein-Hawking area formula for the entropy is found. The result pertains to any consistent quantum theory of gravity, and does not use string theory or supersymmetry.