Statistical mechanics of a two-dimensional black hole

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.

33 pages + appendices; v.2: additional reference, explicit formula for two-point correlators, and other minor improvements

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• An Investigation of AdS${}_2$ Backreaction and Holography
• The soft mode in the Sachdev-Ye-Kitaev model and its gravity dual
• Sachdev-Ye-Kitaev Model as Liouville Quantum Mechanics

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