Surface/state correspondence as a generalized holography

DOI10.1093/PTEP/PTV089zbMATH Open1348.81458arXiv1503.03542OpenAlexW2116908144MaRDI QIDQ2831477

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Publication date: 10 November 2016

Published in: (Search for Journal in Brave)

Abstract: We propose a new duality relation between codimension two space-like surfaces in gravitational theories and quantum states in dual Hilbert spaces. This surface/state correspondence largely generalizes the idea of holography such that we do not need to rely on any existence of boundaries in gravitational spacetimes. The present idea is motivated by the recent interpretation of AdS/CFT in terms of the tensor networks so called MERA. Moreover, we study this correspondence from the viewpoint of entanglement entropy and information metric. The Cramer-Rao bound in quantum estimation theory implies that the quantum fluctuations of radial coordinate of the AdS is highly suppressed in the large N limit.

Full work available at URL: https://arxiv.org/abs/1503.03542

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