Statistical mechanics of a two-dimensional black hole

TL;DR

This paper develops a statistical mechanics framework for a two-dimensional black hole in nearly-AdS2 spacetime, deriving wavefunctions, partition functions, and correlation functions to understand its quantum properties.

Contribution

It introduces a method to construct thermal states and density matrices from wavefunctions in a 2D black hole model, advancing the understanding of quantum black hole thermodynamics.

Findings

Derived physically meaningful wavefunctions for the black hole

Constructed thermal partition functions and density matrices

Calculated correlation functions of external operators

Abstract

The dynamics of a nearly-AdS2 spacetime with boundaries is reduced to two particles in the anti-de Sitter space. We determine the class of physically meaningful wavefunctions, and prescribe the statistical mechanics of a black hole. We demonstrate how wavefunctions for a two-sided black hole and a regularized notion of trace can be used to construct thermal partition functions, and more generally, arbitrary density matrices. We also obtain correlation functions of external operators.