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Hot multiboundary wormholes from bipartite entanglement

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arxiv 1506.04128 v2 pith:O4ANLGBM submitted 2015-06-12 hep-th gr-qc

Donald Marolf , Henry Maxfield , Alex Peach , Simon F. Ross This is my paper · ORCID
classification hep-thgr-qc
keywords circlestatesbipartiteboundaryconnecteddifferentdualentanglement
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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, $n \ge 1$ asymptotically-AdS$_3$ 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.

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Cited by 4 Pith papers

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