Holographic Tensor Networks in Full AdS/CFT

Abstract

We present a general procedure for constructing tensor networks for geometric states in the Anti-de Sitter/Conformal Field Theory (AdS/CFT) correspondence. Given a state in a large-$N$ CFT with a static, semiclassical gravitational dual, our procedure produces a tensor network for the boundary state whose internal geometry matches (a discretization of) the bulk spacetime geometry. By invoking the "holographic entanglement of purification" conjecture, our construction can be made to capture the structure of the bulk spacetime at sub-AdS scales.

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• Entanglement Wedge Reconstruction and the Information Paradox
• Multipartite Purification, Multiboundary Wormholes and Islands in AdS${}_3$/CFT${}_2$
• Path-Integral Optimization from Hartle-Hawking Wave Function
• Central charges of aperiodic holographic tensor network models
• The PEE aspects of entanglement islands from bit threads
• Coarse-Graining Holographic States: A Semiclassical Flow in General Spacetimes
• One-shot holography
• Path Integrals for Causal Diamonds and the Covariant Entropy Principle
• Holographic maps from quantum gravity states as tensor networks
• Machine Learning Statistical Gravity from Multi-Region Entanglement Entropy
• More of the Bulk from Extremal Area Variations
• Bulk reconstruction of metrics inside black holes by complexity
• Multipartite edge modes and tensor networks
• Deriving the non-perturbative gravitational dual of quantum Liouville theory from BCFT operator algebra
• The Large $N$ Limit of icMERA and Holography
• Wormhole Traversability via Quantum Random Walks
• Building bulk from Wilson loops