Sectors of solutions in three-dimensional gravity and Black Holes

TL;DR

This paper explores new solution sectors in 3D gravity with negative cosmological constant using Chern-Simons theory, revealing corrections to BTZ black hole entropy that align with Bekenstein-Hawking predictions.

Contribution

It introduces generalized spectral flow transformations that generate new solution sectors in 3D gravity and corrects the microscopic entropy calculation of BTZ black holes.

Findings

New sectors of solutions via spectral flow transformations

Entropy correction aligns microscopic and Bekenstein-Hawking results

Enhanced understanding of 3D gravity and black hole microstates

Abstract

We examine the connection between three dimensional gravity with negative cosmological constant and two-dimensional CFT via the Chern-Simons formulation. A set of generalized spectral flow transformations are shown to yield new sectors of solutions. One implication is that the microscopic calculation of the entropy of the Banados-Teitelboim-Zanelli (BTZ) black hole is corrected by a multiplicative factor with the result that it saturates the Bekenstein-Hawking expression.