Where are the BTZ Black Hole Degrees of Freedom? The Rotating Case

TL;DR

This paper extends the dual conformal field theory description of BTZ black hole entropy to the rotating case, showing that the entropy can be derived at any spatial location using the Cardy formula, similar to the non-rotating case.

Contribution

It demonstrates that the dual conformal description for BTZ black holes applies to the rotating case at any spatial location, recovering the correct entropy.

Findings

Dual conformal description exists at any spatial location for rotating BTZ black holes.

Two copies of the central charge are recovered, matching previous results.

The Cardy formula yields the Bekenstein-Hawking entropy for the rotating case.

Abstract

Recent work has shown that the entropy of the non-rotating BTZ black hole can be derived from a dual conformal description at any spatial location. In this followup it is shown that a dual conformal description exists at any spatial location for the rotating BTZ black hole as well. As in the non-rotating case, two copies of the central charge $c^{\pm} = 3\ell/2G$ are recovered and the microcanonical Cardy formula yields the correct Bekenstein-Hawking entropy.