skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

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]
  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:
Journal Article: Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
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.
Agon, Cesar A., & Faulkner, Thomas. Quantum corrections to holographic mutual information. United States. https://doi.org/10.1007/JHEP08(2016)118
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.
@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},
url = {https://www.osti.gov/biblio/1434617}, journal = {Journal of High Energy Physics (Online)},
issn = {1029-8479},
number = 8,
volume = 2016,
place = {United States},
year = {2016},
month = {8}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 12 works
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

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


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


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


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


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


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


Quantum corrections to holographic entanglement entropy
journal, November 2013


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


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


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


    Works referencing / citing this record:

    Geometric aspects of holographic bit threads
    journal, May 2019


    Entropy and modular Hamiltonian for a free chiral scalar in two intervals
    journal, December 2018


    Bulk entanglement entropy in perturbative excited states
    journal, January 2018