Statistical mechanics of a two-dimensional black hole

Creators: Kitaev, Alexei; Suh, S. Josephine

Abstract

The dynamics of a nearly-AdS_2 spacetime with boundaries is 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.

Additional Information

© 2019 The Authors. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited. Article funded by SCOAP3. Received: March 5, 2019; Accepted: May 20, 2019; Published: May 29, 2019. We thank Daniel Jafferis, Juan Maldacena, Douglas Stanford, Herman Verlinde, and Zhenbin Yang for discussions. We gratefully acknowledge the support by the Simons Foundation through the "It from Qubit" program. A.K. is supported by the Simons Foundation under grant 376205 and by the Institute of Quantum Information and Matter, a NSF Frontier center funded in part by the Gordon and Betty Moore Foundation. This work was performed in part at Aspen Center for Physics, which is supported by National Science Foundation grant PHY-1607611.

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