Replica wormholes and the black hole interior
By Geoff Penington, S. Shenker, D. Stanford, Zhenbin Yang. Journal of High Energy Physics, 2019
776 citations recorded by the source corpus.
Recent work has shown how to obtain the Page curve of an evaporating black hole from holographic computations of entanglement entropy. We show how these computations can be justified using the replica trick, from geometries with a spacetime wormhole connecting the different replicas. In a simple model, we study the Page transition in detail by summing replica geometries with different topologies. We compute related quantities in less detail in more complicated models, including JT gravity coupled to conformal matter and the SYK model. Separately, we give a direct gravitational argument for entanglement wedge reconstruction using an explicit formula known as the Petz map; again, a spacetime wormhole plays an important role. We discuss an interpretation of the wormhole geometries as part of some ensemble average implicit in the gravity description.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/0d53318981aaeb7500f4bbfde28ae55db972b7c8
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Astronomy and Astrophysics
In Nuclear and High Energy Physics
In Statistical and Nonlinear Physics
Citations in the corpus
- Lessons from the information paradox (2020, background): “es, one is looking for interior operators that, rather than being correctly entangled with exterior operators, have some other desired properties. For instance, in the \Petz map" construction of [7], one is looking for an operator in the interior whose action on a state reproduces the action of”
- The path integral of 3D gravity near extremality; or, JT gravity with defects as a matrix integral (2020, background): “Similar ‘spacetime wormhole’ geometries connecting disjoint boundaries have also made a recent appearance in discussion of the information paradox [58, 59], and put the ‘baby universe’ discussions of [60, 61, 62] in an asymptotically AdS context [63].”
- Notes on islands in asymptotically flat 2d dilaton black holes (2020, background): “The emergence of islands are also shown by the replica trick in the JackiwTeitelboim (JT) gravity in [14, 15].”
- Islands in Schwarzschild black holes (2020, background): “So far, among recent works [5–8, 12, 13, 17–27], the island rule has been studied mainly in two spacetime dimensions,1 which offer a tractable treatment of the entanglement entropy of the Hawking radiation.”
- Islands in de Sitter space (2020, methodology): “pace of black hole microstates is nite. The island formula has been also successfully applied to asymptotically at black holes [12{16], higher dimensions [17,18], and cosmology [16,19{21].1 Following [10], consider two disjoint universes, Aand B. We place quantum matter in each universe so that the ”
- Information radiation in BCFT models of black holes (2019, methodology): “wedge phase transition and the appearance of connected boundary saddles were directly inspired by similar observations in the JT-gravity context [51]; related obnservations were made independently by [52]. { 22 { Figure 8. BCFT models for single-sided black holes. issue appears when calculating the ”
- The statistical mechanics of near-extremal black holes (2020, methodology): “In order to reproduce the Page curve [72, 73] computed the radiation Renyi entropy, including replica wormholes.”
- Quantum extremal islands made easy. Part II. Black holes on the brane (2020, methodology): “In the two-dimensional models involving JT gravity studied so far [39, 41], the existence of wormholes follows from the fact that JT gravity is defined by averaging over an ensemble of Hamiltonians.”
- Transcending the ensemble: baby universes, spacetime wormholes, and the order and disorder of black hole information (2020, background): “reference to asymptotic boundaries. Moving beyond the current model, one would like to add topological matter, and also to explore a similarly topological version of the de Sitter models of [110] and [49]. Work along these lines is in progress and we hope to report soon. In the longer term, it is al”
- Inconsistency of islands in theories with long-range gravity (2021, methodology): “It would be interesting to obtain the Lorentzian theory corresponding to the Euclidean rules of [6].”
- Quantum extremal islands made easy. Part I. Entanglement on the brane (2020, background): “These islands are a remnant of replica wormholes in the limit n → 1 [26, 32].”