Holographic Tensor Networks in Full AdS/CFT
High Energy Physics - Theory
2019-02-28 v1 General Relativity and Quantum Cosmology
Quantum Physics
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- 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.
Cite
@article{arxiv.1902.10157,
title = {Holographic Tensor Networks in Full AdS/CFT},
author = {Ning Bao and Geoffrey Penington and Jonathan Sorce and Aron C. Wall},
journal= {arXiv preprint arXiv:1902.10157},
year = {2019}
}