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Title: Quantum corrections to holographic mutual information

Abstract

We compute the leading contribution to the mutual information (MI) of two disjoint spheres in the large distance regime for arbitrary conformal field theories (CFT) in any dimension. This is achieved by refining the operator product expansion method introduced by Cardy [1]. For CFTs with holographic duals the leading contribution to the MI at long distances comes from bulk quantum corrections to the Ryu-Takayanagi area formula. According to the FLM proposal [2] this equals the bulk MI between the two disjoint regions spanned by the boundary spheres and their corresponding minimal area surfaces. We compute this quantum correction and provide in this way a non-trivial check of the FLM proposal.

Authors:
 [1];  [2]
+ Show Author Affiliations
  1. Brandeis Univ., Waltham, MA (United States)
  2. Univ. of Illinois, Urbana-Champaign, IL (United States)
Publication Date:
Research Org.:
Brandeis Univ., Waltham, MA (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1434617
Grant/Contract Number:  
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: 2016; Journal Issue: 8; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; AdS-CFT Correspondence; Field Theories in Higher Dimensions

Citation Formats

Agon, Cesar A., and Faulkner, Thomas. Quantum corrections to holographic mutual information. United States: N. p., 2016. Web. doi:10.1007/JHEP08(2016)118.
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Agon, Cesar A., & Faulkner, Thomas. Quantum corrections to holographic mutual information. United States. https://doi.org/10.1007/JHEP08(2016)118
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Agon, Cesar A., and Faulkner, Thomas. Mon . "Quantum corrections to holographic mutual information". United States. https://doi.org/10.1007/JHEP08(2016)118. https://www.osti.gov/servlets/purl/1434617.
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@article{osti_1434617,
title = {Quantum corrections to holographic mutual information},
author = {Agon, Cesar A. and Faulkner, Thomas},
abstractNote = {We compute the leading contribution to the mutual information (MI) of two disjoint spheres in the large distance regime for arbitrary conformal field theories (CFT) in any dimension. This is achieved by refining the operator product expansion method introduced by Cardy [1]. For CFTs with holographic duals the leading contribution to the MI at long distances comes from bulk quantum corrections to the Ryu-Takayanagi area formula. According to the FLM proposal [2] this equals the bulk MI between the two disjoint regions spanned by the boundary spheres and their corresponding minimal area surfaces. We compute this quantum correction and provide in this way a non-trivial check of the FLM proposal.},
doi = {10.1007/JHEP08(2016)118},
journal = {Journal of High Energy Physics (Online)},
number = 8,
volume = 2016,
place = {United States},
year = {Mon Aug 22 00:00:00 EDT 2016},
month = {Mon Aug 22 00:00:00 EDT 2016}
}
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https://doi.org/10.1007/JHEP08(2016)118
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Works referenced in this record:

Holographic Rényi entropy in AdS3/LCFT2 correspondence
journal, March 2014

  • Chen, Bin; Song, Feng-yan; Zhang, Jia-ju
  • Journal of High Energy Physics, Vol. 2014, Issue 3
  • DOI: 10.1007/JHEP03(2014)137

Quantum extremal surfaces: holographic entanglement entropy beyond the classical regime
journal, January 2015

Single interval Rényi entropy at low temperature
journal, August 2014

Thermal corrections to Rényi entropies for free fermions
journal, April 2016

  • Herzog, Christopher P.; Spillane, Michael
  • Journal of High Energy Physics, Vol. 2016, Issue 4
  • DOI: 10.1007/JHEP04(2016)124

Thermal corrections to Rényi entropies for conformal field theories
journal, June 2015

  • Herzog, Christopher P.; Nian, Jun
  • Journal of High Energy Physics, Vol. 2015, Issue 6
  • DOI: 10.1007/JHEP06(2015)009

Comments on Rényi entropy in AdS3/CFT2
journal, May 2014

Universal thermal corrections to entanglement entropy for conformal field theories on spheres
journal, October 2014

Towards a derivation of holographic entanglement entropy
journal, May 2011

  • Casini, Horacio; Huerta, Marina; Myers, Robert C.
  • Journal of High Energy Physics, Vol. 2011, Issue 5
  • DOI: 10.1007/JHEP05(2011)036

Holographic Rényi entropy for CFT with W symmetry
journal, April 2014

  • Chen, Bin; Long, Jiang; Zhang, Jia-ju
  • Journal of High Energy Physics, Vol. 2014, Issue 4
  • DOI: 10.1007/JHEP04(2014)041

Thermal corrections to entanglement entropy from holography
journal, September 2015

Entanglement entropy of two spheres
journal, July 2012

On the next-to-leading holographic entanglement entropy in AdS 3 /CFT 2
journal, April 2014

  • Beccaria, Matteo; Macorini, Guido
  • Journal of High Energy Physics, Vol. 2014, Issue 4
  • DOI: 10.1007/JHEP04(2014)045

Quantum corrections to holographic entanglement entropy
journal, November 2013

  • Faulkner, Thomas; Lewkowycz, Aitor; Maldacena, Juan
  • Journal of High Energy Physics, Vol. 2013, Issue 11
  • DOI: 10.1007/JHEP11(2013)074

Shape dependence of entanglement entropy in conformal field theories
journal, April 2016

  • Faulkner, Thomas; Leigh, Robert G.; Parrikar, Onkar
  • Journal of High Energy Physics, Vol. 2016, Issue 4
  • DOI: 10.1007/JHEP04(2016)088

Entanglement entropy of compressible holographic matter: Loop corrections from bulk fermions
journal, July 2014

On short interval expansion of Rényi entropy
journal, November 2013

Double-trace deformations and entanglement entropy in AdS: Double-trace deformations and entanglement entropy in AdS
journal, January 2016

  • Miyagawa, Taiki; Shiba, Noburo; Takayanagi, Tadashi
  • Fortschritte der Physik, Vol. 64, Issue 1
  • DOI: 10.1002/prop.201500098

Bulk emergence and the RG flow of entanglement entropy
journal, May 2015

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