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Title: Entanglement shadows in LLM geometries

Abstract

We find a new example of an asymptotically AdS5 × S5 geometry which has an entanglement shadow: that is, a region of spacetime which no Ryu-Takayanagi minimal surface enters. Our example is a particular case of the supersymmetric LLM geometries. Our results illustrate how minimal surfaces, which holographically geometrize entanglement entropy, can fail to probe the whole of spacetime, posing a challenge for attempts to directly reconstruct holographic geometries from the entanglement entropies of the dual field theory. We also comment on the relation to previous investigations of minimal surfaces localised in the S5 factor of AdS5 × S5.

Authors:
 [1];  [2];  [2];  [3]
+ Show Author Affiliations
  1. Univ. of Pennsylvania, Philadelphia, PA (United States). David Rittenhouse Labs.; Vrije Univ., Brussels (Belgium). Theoretische Natuurkunde
  2. Brandeis Univ., Waltham, MA (United States). Martin Fisher School of Physics
  3. Durham Univ. (United Kingdom). Centre for Particle Physics, Dept. of Mathematical Sciences
Publication Date:
Research Org.:
Duke Univ., Durham, NC (United States); Brandeis Univ., Waltham, MA (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1507702
Grant/Contract Number:  
FG02-05ER41367; SC0009987
Resource Type:
Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2017; Journal Issue: 11; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; AdS-CFT Correspondence; Gauge-gravity correspondence

Citation Formats

Balasubramanian, Vijay, Lawrence, Albion, Rolph, Andrew, and Ross, Simon F. Entanglement shadows in LLM geometries. United States: N. p., 2017. Web. doi:10.1007/jhep11(2017)159.
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Balasubramanian, Vijay, Lawrence, Albion, Rolph, Andrew, & Ross, Simon F. Entanglement shadows in LLM geometries. United States. https://doi.org/10.1007/jhep11(2017)159
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Balasubramanian, Vijay, Lawrence, Albion, Rolph, Andrew, and Ross, Simon F. Fri . "Entanglement shadows in LLM geometries". United States. https://doi.org/10.1007/jhep11(2017)159. https://www.osti.gov/servlets/purl/1507702.
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@article{osti_1507702,
title = {Entanglement shadows in LLM geometries},
author = {Balasubramanian, Vijay and Lawrence, Albion and Rolph, Andrew and Ross, Simon F.},
abstractNote = {We find a new example of an asymptotically AdS5 × S5 geometry which has an entanglement shadow: that is, a region of spacetime which no Ryu-Takayanagi minimal surface enters. Our example is a particular case of the supersymmetric LLM geometries. Our results illustrate how minimal surfaces, which holographically geometrize entanglement entropy, can fail to probe the whole of spacetime, posing a challenge for attempts to directly reconstruct holographic geometries from the entanglement entropies of the dual field theory. We also comment on the relation to previous investigations of minimal surfaces localised in the S5 factor of AdS5 × S5.},
doi = {10.1007/jhep11(2017)159},
journal = {Journal of High Energy Physics (Online)},
number = 11,
volume = 2017,
place = {United States},
year = {Fri Nov 24 00:00:00 EST 2017},
month = {Fri Nov 24 00:00:00 EST 2017}
}
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Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1007/jhep11(2017)159
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Cited by: 14 works
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Figures / Tables:

Figure 1 Figure 1: LLM con gurations in the ($x_1; x_2$) plane. The con gurations describe boundary conditions for the equations of motion on a two dimensional surface in the bulk spacetime, and also correspond to con gurations in a fermionic phase space that completely summarizes the boundary 1/2 BPS state. Themore » black disc boundary condition (a) leads to a pure AdS5 x S5 geometry. We will show that no entangling surface can probe deeply into the IR region of the geometry given by the annulus boundary condition (b).« less
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Works referenced in this record:

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text, January 1997

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    Works referencing / citing this record:

    Information flows in strongly coupled ABJM theory
    journal, January 2019

    • Balasubramanian, Vijay; Jokela, Niko; Pönni, Arttu
    • Journal of High Energy Physics, Vol. 2019, Issue 1
    • DOI: 10.1007/jhep01(2019)232

    Code subspaces for LLM geometries
    journal, February 2018

    Entanglement wedge reconstruction and entanglement of purification
    journal, August 2018

    Code subspaces for LLM geometries
    text, January 2017

    Entanglement Wedge Reconstruction and Entanglement of Purification
    text, January 2018

    Code subspaces for LLM geometries
    journal, February 2018

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