Statistical mechanics of a two-dimensional black hole

The dynamics of a nearly-AdS2 spacetime with boundaries can be reduced to that of 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. The talk is based on work with A. Kitaev in the preprint arXiv:1808.07032.