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Hot multiboundary wormholes from bipartite entanglement.

Marolf, D. and Maxfield, H. and Peach, A. and Ross, S. F. (2015) 'Hot multiboundary wormholes from bipartite entanglement.', Classical and quantum gravity., 32 (21). p. 215006.

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.

Item Type:Article
Keywords:AdS-CFT, Entanglement entropy, Wormhole.
Full text:(AM) Accepted Manuscript
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Status:Peer-reviewed
Publisher Web site:http://dx.doi.org/10.1088/0264-9381/32/21/215006
Publisher statement:This is an author-created, un-copyedited version of an article published in Classical and Quantum Gravity. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The Version of Record is available online at http://dx.doi.org/10.1088/0264-9381/32/21/215006
Date accepted:03 September 2015
Date deposited:13 October 2015
Date of first online publication:08 October 2015
Date first made open access:08 October 2016

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