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

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.

20 pages and 2 figures, LaTeX, IASSNS-HEP-94/34 and UCD-94-13

References in corpus (11)

• The Black Hole in Three Dimensional Space Time
• Geometry of the 2+1 Black Hole
• The Stretched Horizon and Black Hole Complementarity
• The Statistical Mechanics of the (2+1)-Dimensional Black Hole
• The Microcanonical Functional Integral. I. The Gravitational Field
• Black Hole Entropy and the Dimensional Continuation of the Gauss-Bonnet Theorem
• Gauge Formulation of the Spinning Black Hole in (2+1)-Dimensional Anti-de Sitter Space
• The Sum over Topologies in Three-Dimensional Euclidean Quantum Gravity
• Entropy vs. Action in the (2+1)-Dimensional Hartle-Hawking Wave Function
• Wilson Loops and Black Holes in 2+1 Dimensions
• Six ways to quantize (2+1)-dimensional gravity

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