Hot multiboundary wormholes from bipartite entanglement

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.

32 pages, 17 figures

Cited by in corpus (34)

• Chaos in quantum channels
• Complexity of Formation in Holography
• Flat entanglement spectra in fixed-area states of quantum gravity
• Tensor Networks from Kinematic Space
• Islands for Reflected Entropy
• Holographic complexity is nonlocal
• Entanglement Wedge Cross Sections Require Tripartite Entanglement
• Multipartite Entanglement in Stabilizer Tensor Networks
• Multi-Boundary Entanglement in Chern-Simons Theory and Link Invariants
• Microcanonical Path Integrals and the Holography of small Black Hole Interiors
• Entanglement Entropy and the Colored Jones Polynomial
• Entanglement of Purification and Multiboundary Wormhole Geometries
• Entanglement from Topology in Chern-Simons Theory
• Binding Complexity and Multiparty Entanglement
• Bag-of-gold spacetimes, Euclidean wormholes, and inflation from domain walls in AdS/CFT
• Holographic Purification Complexity
• Islands and mixed states in closed universes
• A defect in holographic interpretations of tensor networks
• Entanglement on linked boundaries in Chern-Simons theory with generic gauge groups
• Going beyond ER=EPR in the SYK model
• CFT sewing as the dual of AdS cut-and-paste
• Qubit Construction in 6D SCFTs
• Multi-mouth Traversable Wormholes
• Circuit Complexity in Topological Quantum Field Theory
• Kinematic Space and Wormholes
• Holographic Dual to Conical Defects: II. Colliding Ultrarelativistic Particles
• Restricted Maximin surfaces and HRT in generic black hole spacetimes
• Linking Entanglement and Discrete Anomaly
• Traversability of Multi-Boundary Wormholes
• Entanglement on multiple $S^2$ boundaries in Chern-Simons theory
• Knitting Wormholes by Entanglement in Supergravity
• The Torus Operator in Holography
• Adiabatic corrections to holographic entanglement in thermofield doubles and confining ground states
• Spacetime topology from holographic entanglement