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Title: Bulk reconstruction beyond the entanglement wedge

Abstract

We study the portion of an asymptotically Anti–de Sitter geometry’s bulk where the metric can be reconstructed, given the areas of minimal two-surfaces anchored to a fixed boundary subregion. We exhibit situations in which this region can reach parametrically far outside of the entanglement wedge. If the setting is furthermore holographic, so that the bulk geometry is dual to a state in a conformal field theory (CFT), these minimal two-surface areas can be deduced from the expectation values of operators localized within the boundary subregion. This presents us with an alternative: either the reduced CFT state encodes significant information about the bulk beyond the entanglement wedge, challenging conventional intuition about holographic subregion duality, or the reduced CFT state fails to contain information about operators whose expectation values give the areas of minimal two-surfaces anchored within that subregion, challenging conventional intuition about the holographic dictionary.

Authors:
; ORCiD logo; ;
Publication Date:
Research Org.:
Univ. of California, Oakland, CA (United States)
Sponsoring Org.:
National Science Foundation (NSF); New York State Urban Development Corporation Empire State Development; Research Foundation—Flanders; National Science Foundation of Belgium (FWO); European Research Council (ERC); European Union’s Horizon 2020; USDOE Office of Science (SC), High Energy Physics (HEP)
OSTI Identifier:
1604497
Alternate Identifier(s):
OSTI ID: 1803761
Grant/Contract Number:  
SC0019380; AC02-05CH11231; 82248-13067-44-PHPXH; AA289; ZKD1118 C16/16/005; G.001.12 Odysseus; ERC-2013-CoG 616732 HoloQosmos; ERC-2013-CoG 61673 HoloQosmos; 665501; PHY1820912; DGE 1752814
Resource Type:
Published Article
Journal Name:
Physical Review D
Additional Journal Information:
Journal Name: Physical Review D Journal Volume: 101 Journal Issue: 6; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Astronomy & Astrophysics; Physics

Citation Formats

Bao, Ning, Chatwin-Davies, Aidan, Niehoff, Benjamin E., and Usatyuk, Mykhaylo. Bulk reconstruction beyond the entanglement wedge. United States: N. p., 2020. Web. doi:10.1103/PhysRevD.101.066011.
Bao, Ning, Chatwin-Davies, Aidan, Niehoff, Benjamin E., & Usatyuk, Mykhaylo. Bulk reconstruction beyond the entanglement wedge. United States. https://doi.org/10.1103/PhysRevD.101.066011
Bao, Ning, Chatwin-Davies, Aidan, Niehoff, Benjamin E., and Usatyuk, Mykhaylo. Fri . "Bulk reconstruction beyond the entanglement wedge". United States. https://doi.org/10.1103/PhysRevD.101.066011.
@article{osti_1604497,
title = {Bulk reconstruction beyond the entanglement wedge},
author = {Bao, Ning and Chatwin-Davies, Aidan and Niehoff, Benjamin E. and Usatyuk, Mykhaylo},
abstractNote = {We study the portion of an asymptotically Anti–de Sitter geometry’s bulk where the metric can be reconstructed, given the areas of minimal two-surfaces anchored to a fixed boundary subregion. We exhibit situations in which this region can reach parametrically far outside of the entanglement wedge. If the setting is furthermore holographic, so that the bulk geometry is dual to a state in a conformal field theory (CFT), these minimal two-surface areas can be deduced from the expectation values of operators localized within the boundary subregion. This presents us with an alternative: either the reduced CFT state encodes significant information about the bulk beyond the entanglement wedge, challenging conventional intuition about holographic subregion duality, or the reduced CFT state fails to contain information about operators whose expectation values give the areas of minimal two-surfaces anchored within that subregion, challenging conventional intuition about the holographic dictionary.},
doi = {10.1103/PhysRevD.101.066011},
journal = {Physical Review D},
number = 6,
volume = 101,
place = {United States},
year = {2020},
month = {3}
}

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