Microstates of Four-Dimensional Rotating Black Holes from Near-Horizon Geometry

TL;DR

This paper demonstrates that certain four-dimensional rotating black holes can be embedded into five dimensions as black strings, with their near-horizon geometry revealing a dual conformal field theory that accounts for their entropy and angular momentum.

Contribution

It introduces a five-dimensional embedding of four-dimensional rotating black holes and links their near-horizon geometry to a dual conformal field theory for entropy calculation.

Findings

Reproduced black hole entropy using AdS_3/CFT_2 correspondence.

Established the near-horizon geometry as AdS_3 x S^2.

Linked angular momentum to the global structure of the geometry.

Abstract

We show that a class of four-dimensional rotating black holes allow five-dimensional embeddings as black rotating strings. Their near-horizon geometry factorizes locally as a product of the three-dimensional anti-deSitter space-time and a two-dimensional sphere (AdS_3 x S^2), with angular momentum encoded in the global space-time structure. Following the observation that the isometries on the AdS_3 space induce a two-dimensional (super)conformal field theory on the boundary, we reproduce the microscopic entropy with the correct dependence on the black hole angular momentum.