Aspects of Black Hole Quantum Mechanics and Thermodynamics in 2+1 Dimensions

TL;DR

This paper explores the quantum mechanics and thermodynamics of (2+1)-dimensional black holes, using minisuperspace and Chern-Simons theory to evaluate quantum corrections to entropy and propose a statistical interpretation.

Contribution

It introduces a novel approach combining minisuperspace and Chern-Simons methods to analyze black hole entropy corrections in lower dimensions.

Findings

Quantum correction to black hole entropy calculated.

Dynamical variables linked to deficit angles at the horizon.

Potential basis for a statistical understanding of black hole thermodynamics.

Abstract

We discuss the quantum mechanics and thermodynamics of the (2+1)-dimensional black hole, using both minisuperspace methods and exact results from Chern-Simons theory. In particular, we evaluate the first quantum correction to the black hole entropy. We show that the dynamical variables of the black hole arise from the possibility of a deficit angle at the (Euclidean) horizon, and briefly speculate as to how they may provide a basis for a statistical picture of black hole thermodynamics.