期刊
CLASSICAL AND QUANTUM GRAVITY
卷 32, 期 21, 页码 -出版社
IOP PUBLISHING LTD
DOI: 10.1088/0264-9381/32/21/215006
关键词
AdS-CFT; entanglement entropy; wormhole
类别
资金
- National Science Foundation [PHY12-05500, PHY11-25915]
- University of California
- STFC [ST/L000407/1]
- NSF Grant [1066293]
- STFC [ST/L000407/1] Funding Source: UKRI
- Science and Technology Facilities Council [ST/L000407/1] Funding Source: researchfish
We analyze the 1+1 CFT states dual to hot (time-symmetric) 2+1 multi-boundary AdS wormholes. These are black hole geometries with high local temperature, n >= 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.
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