Search Menu
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information
Search Scholarly Publications

Title: Entropy variations and light ray operators from replica defects

Abstract

We study the defect operator product expansion (OPE) of displacement operators in free and interacting conformal field theories using replica methods. We show that as n approaches 1 a contact term can emerge when the OPE contains defect operators of twist d - 2. For interacting theories and general states we give evidence that the only possibility is from the defect operator that becomes the stress tensor in the n → 1 limit. This implies that the quantum null energy condition (QNEC) is always saturated for CFTs with a twist gap. As a check, we show independently that in a large class of near vacuum states, the second variation of the entanglement entropy is given by a simple correlation function of averaged null energy operators as studied by Hofman and Maldacena. This suggests that sub-leading terms in the defect OPE are controlled by a defect version of the spin-3 non-local light ray operator and we speculate about the possible origin of such a defect operator. For free theories this contribution condenses to a contact term that leads to violations of QNEC saturation.

Authors:
 [1];  [2];  [1];  [2];  [2]
+ Show Author Affiliations
  1. University of Illinois at Urbana-Champaign, IL (United States)
  2. University of California, Berkeley, CA (United States)
Publication Date:
Research Org.:
Univ. of Illinois at Urbana-Champaign, IL (United States); Univ. of California, Oakland, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP); National Science Foundation (NSF); US Department of Defense (USDOD)
OSTI Identifier:
1976547
Grant/Contract Number:  
SC0019183; SC0019380; AC02-05CH11231; PHY-1820912; Department of Defense (DoD)
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: 2022; Journal Issue: 9; Journal ID: ISSN 1029-8479
Publisher:
Springer Nature
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; boundary quantum field theory; conformal field theory; field theories in higher dimensions

Citation Formats

Balakrishnan, Srivatsan, Chandrasekaran, Venkatesa, Faulkner, Thomas, Levine, Adam, and Shahbazi-Moghaddam, Arvin. Entropy variations and light ray operators from replica defects. United States: N. p., 2022. Web. doi:10.1007/jhep09(2022)217.
Copy to clipboard
Balakrishnan, Srivatsan, Chandrasekaran, Venkatesa, Faulkner, Thomas, Levine, Adam, & Shahbazi-Moghaddam, Arvin. Entropy variations and light ray operators from replica defects. United States. https://doi.org/10.1007/jhep09(2022)217
Copy to clipboard
Balakrishnan, Srivatsan, Chandrasekaran, Venkatesa, Faulkner, Thomas, Levine, Adam, and Shahbazi-Moghaddam, Arvin. Mon . "Entropy variations and light ray operators from replica defects". United States. https://doi.org/10.1007/jhep09(2022)217. https://www.osti.gov/servlets/purl/1976547.
Copy to clipboard
@article{osti_1976547,
title = {Entropy variations and light ray operators from replica defects},
author = {Balakrishnan, Srivatsan and Chandrasekaran, Venkatesa and Faulkner, Thomas and Levine, Adam and Shahbazi-Moghaddam, Arvin},
abstractNote = {We study the defect operator product expansion (OPE) of displacement operators in free and interacting conformal field theories using replica methods. We show that as n approaches 1 a contact term can emerge when the OPE contains defect operators of twist d - 2. For interacting theories and general states we give evidence that the only possibility is from the defect operator that becomes the stress tensor in the n → 1 limit. This implies that the quantum null energy condition (QNEC) is always saturated for CFTs with a twist gap. As a check, we show independently that in a large class of near vacuum states, the second variation of the entanglement entropy is given by a simple correlation function of averaged null energy operators as studied by Hofman and Maldacena. This suggests that sub-leading terms in the defect OPE are controlled by a defect version of the spin-3 non-local light ray operator and we speculate about the possible origin of such a defect operator. For free theories this contribution condenses to a contact term that leads to violations of QNEC saturation.},
doi = {10.1007/jhep09(2022)217},
journal = {Journal of High Energy Physics (Online)},
number = 9,
volume = 2022,
place = {United States},
year = {Mon Sep 26 00:00:00 EDT 2022},
month = {Mon Sep 26 00:00:00 EDT 2022}
}
Copy to clipboard
Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1007/jhep09(2022)217
Copyright Statement
Other availability
Search WorldCat Search WorldCat to find libraries that may hold this journal
Save / Share:
Export Metadata
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.

Works referenced in this record:

Entropy on a null surface for interacting quantum field theories and the Bousso bound
journal, April 2015

Nonlinear gravity from entanglement in conformal field theories
journal, August 2017

  • Faulkner, Thomas; Haehl, Felix M.; Hijano, Eliot
  • Journal of High Energy Physics, Vol. 2017, Issue 8
  • DOI: 10.1007/JHEP08(2017)057

Quantum null energy condition, entanglement wedge nesting, and quantum focusing
journal, January 2020

Entanglement entropy of two disjoint intervals in conformal field theory: II
journal, January 2011

  • Calabrese, Pasquale; Cardy, John; Tonni, Erik
  • Journal of Statistical Mechanics: Theory and Experiment, Vol. 2011, Issue 01
  • DOI: 10.1088/1742-5468/2011/01/P01021

Spinning operators and defects in conformal field theory
journal, August 2019

  • Lauria, Edoardo; Meineri, Marco; Trevisani, Emilio
  • Journal of High Energy Physics, Vol. 2019, Issue 8
  • DOI: 10.1007/JHEP08(2019)066

Entanglement Rényi entropies in holographic theories
journal, December 2010

Defects in conformal field theory
journal, April 2016

  • Billò, Marco; Gonçalves, Vasco; Lauria, Edoardo
  • Journal of High Energy Physics, Vol. 2016, Issue 4
  • DOI: 10.1007/jhep04(2016)091

Bounds for OPE coefficients on the Regge trajectory
journal, October 2017

  • Costa, Miguel S.; Hansen, Tobias; Penedones, João
  • Journal of High Energy Physics, Vol. 2017, Issue 10
  • DOI: 10.1007/JHEP10(2017)197

Boundary and Interface CFTs from the Conformal Bootstrap
text, January 2015

Bootstrapping the 3d Ising twist defect
journal, March 2014

  • Gaiotto, Davide; Mazac, Dalimil; Paulos, Miguel F.
  • Journal of High Energy Physics, Vol. 2014, Issue 3
  • DOI: 10.1007/JHEP03(2014)100

Energy density from second shape variations of the von Neumann entropy
journal, October 2018

  • Leichenauer, Stefan; Levine, Adam; Shahbazi-Moghaddam, Arvin
  • Physical Review D, Vol. 98, Issue 8
  • DOI: 10.1103/PhysRevD.98.086013

Modular Hamiltonians on the null plane and the Markov property of the vacuum state
journal, August 2017

  • Casini, Horacio; Testé, Eduardo; Torroba, Gonzalo
  • Journal of Physics A: Mathematical and Theoretical, Vol. 50, Issue 36
  • DOI: 10.1088/1751-8121/aa7eaa

Modular Hamiltonians for deformed half-spaces and the averaged null energy condition
journal, September 2016

  • Faulkner, Thomas; Leigh, Robert G.; Parrikar, Onkar
  • Journal of High Energy Physics, Vol. 2016, Issue 9
  • DOI: 10.1007/JHEP09(2016)038

Light-ray operators in conformal field theory
journal, November 2018

  • Kravchuk, Petr; Simmons-Duffin, David
  • Journal of High Energy Physics, Vol. 2018, Issue 11
  • DOI: 10.1007/JHEP11(2018)102

A covariant holographic entanglement entropy proposal
journal, July 2007

  • Hubeny, Veronika E.; Rangamani, Mukund; Takayanagi, Tadashi
  • Journal of High Energy Physics, Vol. 2007, Issue 07
  • DOI: 10.1088/1126-6708/2007/07/062

Line defects in the 3d Ising model
preprint, January 2013

Conformal collider physics: energy and charge correlations
journal, May 2008

Holographic Reconstruction of Spacetime¶and Renormalization in the AdS/CFT Correspondence
journal, March 2001

  • de Haro, Sebastian; Skenderis, Kostas; Solodukhin, Sergey N.
  • Communications in Mathematical Physics, Vol. 217, Issue 3
  • DOI: 10.1007/s002200100381

Aspects of holographic entanglement entropy
journal, August 2006

Entanglement entropy across a deformed sphere
journal, February 2015

The light-ray OPE and conformal colliders
journal, January 2021

  • Koloğlu, Murat; Kravchuk, Petr; Simmons-Duffin, David
  • Journal of High Energy Physics, Vol. 2021, Issue 1
  • DOI: 10.1007/JHEP01(2021)128

Some results on the shape dependence of entanglement and Rényi entropies
journal, February 2015

Universality at large transverse spin in defect CFT
journal, September 2018

  • Lemos, Madalena; Liendo, Pedro; Meineri, Marco
  • Journal of High Energy Physics, Vol. 2018, Issue 9
  • DOI: 10.1007/JHEP09(2018)091

Relative entanglement entropies in 1 + 1-dimensional conformal field theories
journal, February 2017

  • Ruggiero, Paola; Calabrese, Pasquale
  • Journal of High Energy Physics, Vol. 2017, Issue 2
  • DOI: 10.1007/JHEP02(2017)039

Proof of the generalized second law for rapidly evolving Rindler horizons
journal, December 2010

Modular Hamiltonian for Excited States in Conformal Field Theory
journal, July 2016

Gravitational dual of the Rényi displacement operator
journal, August 2017

Geometric and renormalized entropy in conformal field theory
journal, August 1994

Geometric and renormalized entropy in conformal field theory
journal, August 1994

Holographic proof of the quantum null energy condition
journal, July 2016

A general proof of the quantum null energy condition
journal, September 2019

  • Balakrishnan, Srivatsan; Faulkner, Thomas; Khandker, Zuhair U.
  • Journal of High Energy Physics, Vol. 2019, Issue 9
  • DOI: 10.1007/JHEP09(2019)020

Recovering the QNEC from the ANEC
journal, May 2020

Boundary and interface CFTs from the conformal bootstrap
journal, May 2015

  • Gliozzi, Ferdinando; Liendo, Pedro; Meineri, Marco
  • Journal of High Energy Physics, Vol. 2015, Issue 5
  • DOI: 10.1007/JHEP05(2015)036

Quantum focusing conjecture
journal, March 2016

Local modular Hamiltonians from the quantum null energy condition
journal, March 2018

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

Holographic Derivation of Entanglement Entropy from the anti–de Sitter Space/Conformal Field Theory Correspondence
journal, May 2006

Line defects in the 3d Ising model
journal, July 2013

  • Billó, M.; Caselle, M.; Gaiotto, D.
  • Journal of High Energy Physics, Vol. 2013, Issue 7
  • DOI: 10.1007/JHEP07(2013)055

Modular Hamiltonians of excited states, OPE blocks and emergent bulk fields
journal, January 2018

  • Sárosi, Gábor; Ugajin, Tomonori
  • Journal of High Energy Physics, Vol. 2018, Issue 1
  • DOI: 10.1007/JHEP01(2018)012

Medicine and the future of health: reflecting on the past to forge ahead
journal, October 2016

Quantum corrections to holographic mutual information
journal, August 2016

  • Agón, Cesar A.; Faulkner, Thomas
  • Journal of High Energy Physics, Vol. 2016, Issue 8
  • DOI: 10.1007/JHEP08(2016)118

Entanglement entropy and quantum field theory
journal, June 2004

Proof of the quantum null energy condition
journal, January 2016

Relative entropy of excited states in two dimensional conformal field theories
journal, July 2016

  • Sárosi, Gábor; Ugajin, Tomonori
  • Journal of High Energy Physics, Vol. 2016, Issue 7
  • DOI: 10.1007/JHEP07(2016)114

Rényi entropy and conformal defects
journal, July 2016

  • Bianchi, Lorenzo; Meineri, Marco; Myers, Robert C.
  • Journal of High Energy Physics, Vol. 2016, Issue 7
  • DOI: 10.1007/JHEP07(2016)076
    Sort by:
    [ × clear filter / sort ]

    Similar Records in DOE PAGES and OSTI.GOV collections: