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Title: Pulling the boundary into the bulk

Journal Article · · Physical Review D
 [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
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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.

Research Organization:
Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)
Sponsoring Organization:
USDOE Office of Science (SC), High Energy Physics (HEP)
Grant/Contract Number:
AC02-05CH11231
OSTI ID:
1459238
Alternate ID(s):
OSTI ID: 1506336
Journal Information:
Physical Review D, Vol. 98, Issue 2; ISSN 2470-0010
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 35 works
Citation information provided by
Web of Science

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Bulk and Transhorizon Measurements in AdS/CFT text January 2012
Holographic Geometry of Entanglement Renormalization in Quantum Field Theories text January 2012
A Note on (No) Firewalls: The Entropy Argument text January 2012
Quantum corrections to holographic entanglement entropy text January 2013
Extremal Surface Barriers text January 2013
Holographic probes of collapsing black holes text January 2013
Entwinement and the emergence of spacetime text January 2014
Quantum Extremal Surfaces: Holographic Entanglement Entropy beyond the Classical Regime text January 2014
Causality & holographic entanglement entropy text January 2014
Surface/State Correspondence as a Generalized Holography text January 2015
Holographic duality from random tensor networks text January 2016
Why Firewalls Need Not Exist text January 2016
A Holographic Entanglement Entropy Conjecture for General Spacetimes text January 2016
Refinement of the Bousso-Engelhardt Area Law text January 2016
The Ryu-Takayanagi Formula from Quantum Error Correction text January 2016
Toward a Holographic Theory for General Spacetimes text January 2016
Classical Spacetimes as Amplified Information in Holographic Quantum Theories text January 2017
Entanglement of purification: from spin chains to holography text January 2017
Entanglement renormalization text January 2005
Holographic representation of local bulk operators text January 2006
The Stretched Horizon and Black Hole Complementarity text January 1993
The World as a Hologram text January 1994
The Large N Limit of Superconformal Field Theories and Supergravity text January 1997
Gauge Theory Correlators from Non-Critical String Theory text January 1998
Anti De Sitter Space And Holography text January 1998
A Covariant Entropy Conjecture text January 1999
Holography in General Space-times text January 1999
Gravitational Stability and Renormalization-Group Flow text January 1999

Cited By (7)

Losing the IR: a holographic framework for area theorems journal January 2019
Holographic entanglement contour, bit threads, and the entanglement tsunami journal July 2019
Comments on holographic entanglement entropy in T T deformed conformal field theories journal July 2019
Entanglement negativity and minimal entanglement wedge cross sections in holographic theories text January 2018
Reanalyzing an Evaporating Black Hole text January 2018
Holographic Entanglement of Purification from Conformal Field Theories text January 2018
Holographic entanglement contour, bit threads, and the entanglement tsunami text January 2019

Figures / Tables (11)

FIG. 1.(p. 5)figure FIG. 1.
FIG. 2.(p. 6)figure FIG. 2.
FIG. 3.(p. 7)figure FIG. 3.
FIG. 4.(p. 8)figure FIG. 4.
FIG. 5.(p. 9)figure FIG. 5.
FIG. 6.(p. 9)figure FIG. 6.
FIG. 7.(p. 10)figure FIG. 7.
FIG. 8.(p. 11)figure FIG. 8.
FIG. 9.(p. 12)figure FIG. 9.
FIG. 10.(p. 13)figure FIG. 10.
FIG. 11.(p. 14)figure FIG. 11.

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