CFT description of three-dimensional Kerr-de Sitter spacetime

TL;DR

This paper extends the CFT description of three-dimensional Kerr-de Sitter space, employing classical methods similar to those used for BTZ black holes, but finds differences in entropy quantization.

Contribution

It applies the CFT framework to Kerr-de Sitter space and highlights the differences from BTZ black holes in entropy quantization.

Findings

Classical CFT methods describe Kerr-de Sitter space.

Quantization does not reproduce Bekenstein-Hawking entropy.

Differences from BTZ black hole case in quantum properties.

Abstract

We describe three-dimensional Kerr-de Sitter space using similar methods as recently applied to the BTZ black hole. A rigorous form of the classical connection between gravity in three dimensions and two-dimensional conformal field theory is employed, where the fundamental degrees of freedom are described in terms of two dependent SL(2,C) currents. In contrast to the BTZ case, however, quantization does not give the Bekenstein-Hawking entropy connected to the cosmological horizon of Kerr-de Sitter space.