Replica Wormholes from Liouville Theory
arXiv:2109.12539 · doi:10.1007/JHEP01(2022)094
Abstract
The replica wormholes are a key to the existence of the islands that play a central role in a recent proposal for the resolution of the black hole information paradox. In this paper, we study the replica wormholes in the JT gravity, a model of two-dimensional quantum gravity coupled to a non-dynamical dilaton, by making use of the 2 conformal field theory (CFT) description, namely, the Liouville theory coupled to the minimal matter in the limit. In the Liouville CFT description, the replica wormholes are created by the twist operators and the gravitational part of the bulk entanglement entropy can be reproduced from the twist operator correlators. We propose the precise dictionary and show how this correspondence works in detail.
arXiv comment22 pages, 4 figures. v2: references added, minor revision. v3: improved discussion on two cosmic branes, published version
References in corpus (33)
- Holographic Derivation of Entanglement Entropy from AdS/CFT
- Entanglement Entropy and Quantum Field Theory
- Aspects of Holographic Entanglement Entropy
- Generalized gravitational entropy
- Replica Wormholes and the Entropy of Hawking Radiation
- Structure Constants and Conformal Bootstrap in Liouville Field Theory
- The entropy of bulk quantum fields and the entanglement wedge of an evaporating black hole
- The Page curve of Hawking radiation from semiclassical geometry
- The entropy of Hawking radiation
- Chaos in AdS holography
- An Investigation of AdS Backreaction and Holography
- Quantum Gravity Partition Functions in Three Dimensions
- Fermionic Localization of the Schwarzian Theory
- Form factors of branch-point twist fields in quantum integrable models and entanglement entropy
- Liouville field theory on a pseudosphere
- Islands outside the horizon
- JT gravity as a matrix integral
- On the Dynamics of Near-Extremal Black Holes
- The path integral of 3D gravity near extremality; or, JT gravity with defects as a matrix integral
- Poincare Series, 3D Gravity and CFT Spectroscopy
- Liouville quantum gravity -- holography, JT and matrices
- A Possible Resolution of the Black Hole Information Puzzle
- Lightcone Modular Bootstrap and Pure Gravity
- Defects in Jackiw-Teitelboim Quantum Gravity
- Jackiw-Teitelboim Gravity and Rotating Black Holes
- Extremal and Near-Extremal Black Holes and Near-
- JT gravity, KdV equations and macroscopic loop operators
- Real-time gravitational replicas: Formalism and a variational principle
- FZZT branes in JT gravity and topological gravity
- Liouville theory and Matrix models: A Wheeler DeWitt perspective
- JT Gravity Limit of Liouville CFT and Matrix Model
- Real-time gravitational replicas: Low dimensional examples
- Liouville field theory with heavy charges. II. The conformal boundary case