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Hot multiboundary wormholes from bipartite entanglement

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

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Authors

D. Marolf

H. Maxfield



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 Mar 28, 2024
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.

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Accepted Journal Article (781 Kb)
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Copyright 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





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