Hot multiboundary wormholes from bipartite entanglement

Marolf, D.; Maxfield, H.; Peach, A.; Ross, S.F.

Abstract

We analyze the 1+1 CFT states dual to hot (time-symmetric) 2+1 multiboundary AdS wormholes. These are black hole geometries with high local temperature, $n\geqslant 1$ asymptotically-AdS3 regions, and arbitrary internal topology. The dual state at t = 0 is defined on n circles. We show these to be well-described by sewing together tensor networks corresponding to thermofield double states. As a result, the entanglement is spatially localized and bipartite: away from particular boundary points ('vertices') any small connected region A of the boundary CFT is entangled only with another small connected region B, where B may lie on a different circle or may be a different part of the same circle. We focus on the pair-of-pants case, from which more general cases may be constructed. We also discuss finite-temperature corrections, where we note that the states involve a code subspace in each circle.

Citation

Marolf, D., Maxfield, H., Peach, A., & Ross, S. (2015). Hot multiboundary wormholes from bipartite entanglement. Classical and Quantum Gravity, 32(21), https://doi.org/10.1088/0264-9381/32/21/215006

• Journal Article Type: Article
• Acceptance Date: Sep 3, 2015
• Online Publication Date: Oct 8, 2015
• Publication Date: Nov 5, 2015
• Deposit Date: Oct 9, 2015
• Publicly Available Date: Oct 8, 2016
• Journal: Classical and Quantum Gravity
• Print ISSN: 0264-9381
• Electronic ISSN: 1361-6382
• Publisher: IOP Publishing
• Peer Reviewed: Peer Reviewed
• Volume: 32
• Issue: 21
• DOI: https://doi.org/10.1088/0264-9381/32/21/215006
• Keywords: AdS-CFT, Entanglement entropy, Wormhole.
• Public URL: https://durham-repository.worktribe.com/output/1400810