Statistical mechanics of a two-dimensional black hole

By Alexei Y. Kitaev, S. J. Suh. Journal of High Energy Physics, 2018

155 citations recorded by the source corpus.

The dynamics of a nearly-AdS2 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.

Subfields: Atomic and Molecular Physics, and Optics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/3183843b6ac3679f6910feac233866498d93d218

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Atomic and Molecular Physics, and Optics

1. Phil Saad
2. D. Stanford
3. Zhenbin Yang
4. S. Shenker
5. E. Witten
6. Geoff Penington
7. D. Harlow
8. J. Maldacena

In Nuclear and High Energy Physics

1. D. Stanford
2. Phil Saad
3. Zhenbin Yang
4. S. Shenker
5. E. Witten
6. J. Maldacena
7. G. Turiaci
8. Jordan S. Cotler

In Statistical and Nonlinear Physics

1. D. Stanford
2. Phil Saad
3. S. Shenker
4. Zhenbin Yang
5. E. Witten
6. G. Turiaci
7. Jordan S. Cotler
8. K. Jensen

Citations in the corpus

• Replica wormholes and the black hole interior (2019, methodology): “It has the expression [59, 58]”
• The quantum gravity dynamics of near extremal black holes (2018, methodology): “y is controlled by its extrinsic curvature. Our goal will be to quantize this action and to provide expression for the full quantum gravity correlators of (1.1). This problem was considered before in [4, 5, 6, 7, 8] from various points of view. Here we will add one other point of view where we reduc”
• Late Time Correlation Functions, Baby Universes, and ETH in JT Gravity (2019, methodology): “The energies between operators corresponds to the energy of the boundary particle in the formalism of [45, 21].”
• JT gravity and the ensembles of random matrix theory (2019, methodology): “The contribution of a particular topology to the path (1)This has included many different derivations of the exact path integral [12, 13, 14, 15, 16, 17, 18, 19, 20], studies of the Hilbert space structure [21, 18, 22, 23], correlation functions [24, 25, 26], the physical symmetry charges [27], and ”
• JT gravity as a matrix integral (2019, methodology): “The resulting path integral is the partition function of the Schwarzian theory, which has been computed by several different methods [20, 21, 22, 23, 24, 25] and it leads to the expression2”