The inside outs of AdS(3)/CFT(2): Exact AdS wormholes with entangled CFT duals

TL;DR

This paper constructs exact 3D gravity solutions with wormholes connecting two asymptotic AdS regions, providing explicit CFT duals as entangled states and confirming the ER=EPR conjecture through detailed correlator and entropy calculations.

Contribution

It introduces a complete family of exact 3D AdS wormhole solutions with dual entangled CFT states, using novel diffeomorphisms and matching bulk-boundary observables.

Findings

Exact wormhole solutions with two asymptotic regions.

Precise matching of CFT and bulk correlators and entanglement entropy.

Explicit examples supporting the ER=EPR conjecture.

Abstract

We present the complete family of solutions of 3D gravity (Lambda<0) with two asymptotically AdS exterior regions. The solutions are constructed from data at the two boundaries, which correspond to two independent and arbitrary stress tensors T_R, \bar T_R, and T_L, \bar T_L. The two exteriors are smoothly joined on to an interior region through a regular horizon. We find CFT duals of these geometries which are entangled states of two CFT's. We compute correlators between general operators at the two boundaries and find perfect agreement between CFT and bulk calculations. We calculate and match the CFT entanglement entropy (EE) with the holographic EE which involves geodesics passing through the wormhole. We also compute a holographic, non-equilibrium entropy for the CFT using properties of the regular horizon. The construction of the bulk solutions here uses an exact version of Brown-Henneaux type diffeomorphisms which are asymptotically nontrivial and transform the CFT states by two independent unitary operators on the two sides. Our solutions provide an infinite family of explicit examples of the ER=EPR relation of Maldacena and Susskind [arXiv:1306.0533].