Replica Wormholes from Liouville Theory

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$d$ conformal field theory (CFT) description, namely, the Liouville theory coupled to the $(2,p)$ minimal matter in the $p\to \infty$ 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.

22 pages, 4 figures. v2: references added, minor revision. v3: improved discussion on two cosmic branes, published version

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• Page curve from dynamical branes in JT gravity
• Entanglement between two evaporating black holes
• Baby universes in 2d and 4d theories of quantum gravity