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Title: Pulling the boundary into the bulk

Abstract

Motivated by the ability to consistently apply the Ryu-Takayanagi prescription for general convex surfaces and the relationship between entanglement and geometry in tensor networks, we introduce a novel, covariant bulk object - the holographic slice. The holographic slice is found by considering the continual removal of short-range information in a boundary state. It thus provides a natural interpretation as the bulk dual of a series of coarse-grained holographic states. The slice possesses many desirable properties that provide consistency checks for its boundary interpretation. These include the monotonicity of both area and entanglement entropy, uniqueness, and the inability to probe beyond late-time black hole horizons. Additionally, the holographic slice illuminates physics behind entanglement shadows, as minimal-area extremal surfaces anchored to a coarse-grained boundary may probe entanglement shadows. This lets the slice flow through shadows. To aid in developing intuition for these slices, many explicit examples of holographic slices are investigated. Finally, the relationship to tensor networks and renormalization (particularly in AdS/CFT) is discussed.

Authors:
 [1];  [2];  [2]
  1. Univ. of California, Berkeley, CA (United States). Berkeley Center for Theoretical Physics, Dept. of Physics; Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). Theoretical Physics Group; Univ. of Tokyo (Japan). Kavli Inst. for the Physics and Mathematics of the Universe (WPI), Inst. for Advanced Study
  2. Univ. of California, Berkeley, CA (United States). Berkeley Center for Theoretical Physics, Dept. of Physics; Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). Theoretical Physics Group
Publication Date:
Research Org.:
Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
OSTI Identifier:
1459238
Alternate Identifier(s):
OSTI ID: 1506336
Grant/Contract Number:  
AC02-05CH11231
Resource Type:
Published Article
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 98; Journal Issue: 2; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 79 ASTRONOMY AND ASTROPHYSICS

Citation Formats

Nomura, Yasunori, Rath, Pratik, and Salzetta, Nico. Pulling the boundary into the bulk. United States: N. p., 2018. Web. doi:10.1103/PhysRevD.98.026010.
Nomura, Yasunori, Rath, Pratik, & Salzetta, Nico. Pulling the boundary into the bulk. United States. doi:10.1103/PhysRevD.98.026010.
Nomura, Yasunori, Rath, Pratik, and Salzetta, Nico. Fri . "Pulling the boundary into the bulk". United States. doi:10.1103/PhysRevD.98.026010.
@article{osti_1459238,
title = {Pulling the boundary into the bulk},
author = {Nomura, Yasunori and Rath, Pratik and Salzetta, Nico},
abstractNote = {Motivated by the ability to consistently apply the Ryu-Takayanagi prescription for general convex surfaces and the relationship between entanglement and geometry in tensor networks, we introduce a novel, covariant bulk object - the holographic slice. The holographic slice is found by considering the continual removal of short-range information in a boundary state. It thus provides a natural interpretation as the bulk dual of a series of coarse-grained holographic states. The slice possesses many desirable properties that provide consistency checks for its boundary interpretation. These include the monotonicity of both area and entanglement entropy, uniqueness, and the inability to probe beyond late-time black hole horizons. Additionally, the holographic slice illuminates physics behind entanglement shadows, as minimal-area extremal surfaces anchored to a coarse-grained boundary may probe entanglement shadows. This lets the slice flow through shadows. To aid in developing intuition for these slices, many explicit examples of holographic slices are investigated. Finally, the relationship to tensor networks and renormalization (particularly in AdS/CFT) is discussed.},
doi = {10.1103/PhysRevD.98.026010},
journal = {Physical Review D},
number = 2,
volume = 98,
place = {United States},
year = {2018},
month = {7}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1103/PhysRevD.98.026010

Citation Metrics:
Cited by: 4 works
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