JT Gravity from Partial Reduction and Defect Extremal Surface

Abstract

We propose the three-dimensional bulk dual for Jackiw-Teitelboim gravity coupled with CFT${}_2$ bath based on partial reduction. The bulk dual is classical AdS gravity with a defect brane which has small fluctuation in transverse direction. We derive full Jackiw-Teitelboim gravity action by considering the transverse fluctuation as a dilaton field. We demonstrate that the fine grained entropy computed from island formula precisely agrees with that computed from defect extremal surface. Our construction provides a Lorentzian higher dimensional dual for Jackiw-Teitelboim gravity and therefore offers a framework to study problems such as black hole information paradox as well as gravity/ensemble duality.

8 pages, 3 figures

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• Entanglement entropy and Page curve from the $\mathcal{M}$-theory dual of thermal QCD above $T_c$ at intermediate coupling
• End of the World Brane meets $T\bar{T}$
• Islands and dynamics at the interface
• Page Curve of AdS-Vaidya Model for Evaporating Black Holes
• Classical geometry from the tensionless string
• Wormholes with Ends of the World