Replica wormholes and the black hole interior

Penington, Geoff; Shenker, Stephen H.; Stanford, Douglas; Yang, Zhenbin

doi:10.1007/jhep03(2022)205

Replica wormholes and the black hole interior

Journal Article · Wed Mar 30 00:00:00 EDT 2022 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/jhep03(2022)205· OSTI ID:1976464

Penington, Geoff ^[1]; Shenker, Stephen H. ^[2]; Stanford, Douglas ^[2]; Yang, Zhenbin ^[2]

Stanford University, CA (United States). Stanford Inst. of Theoretical Physics (ITP); Stanford Univ., CA (United States)
Stanford University, CA (United States). Stanford Inst. of Theoretical Physics (ITP)

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.

View Accepted Manuscript (DOE)

Research Organization:: Stanford University, CA (United States); University of California, Oakland, CA (United States)

Sponsoring Organization:: Air Force Office of Scientific Research (AFOSR); National Science Foundation (NSF); Simons Foundation; USDOE Office of Science (SC)

Grant/Contract Number:: SC0019380

OSTI ID:: 1976464

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 3 Vol. 2022; ISSN 1029-8479

Publisher:: Springer NatureCopyright Statement

Country of Publication:: United States

Language:: English

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