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Title: An exact operator that knows its location

Abstract

We use conformal symmetry to define an AdS3 proto-field φ as an exact linear combination of Virasoro descendants of a CFT2 primary operator O . We find that both symmetry considerations and a gravitational Wilson line formalism lead to the same results. The operator φ has many desirable properties; in particular it has correlators that agree with gravitational perturbation theory when expanded at large c, and that automatically take the correct form in all vacuum AdS3 geometries, including BTZ black hole backgrounds. In the future it should be possible to use φ to probe bulk locality and black hole horizons at a non-perturbative level.

Authors:
 [1];  [1];  [2];  [3];  [1]
  1. Johns Hopkins Univ., Baltimore, MD (United States). Dept. of Physics and Astronomy
  2. Boston Univ., MA (United States). Dept. of Physics
  3. Johns Hopkins Univ., Baltimore, MD (United States). Dept. of Physics and Astronomy; Univ. of California, Davis, CA (United States). Center for Quantum Mathematics and Physics (QMAP); Stanford Univ., CA (United States). Stanford Inst. for Theoretical Physics. Dept. of Physics
Publication Date:
Research Org.:
Boston Univ., MA (United States); Johns Hopkins Univ., Baltimore, MD (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP); National Science Foundation (NSF)
OSTI Identifier:
1501932
Grant/Contract Number:  
SC0010025; PHY-1607611; PHY-1454083
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: 2018; Journal Issue: 2; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 1/N expansion; AdS-CFT correspondence; conformal and W symmetry; conformal field theory

Citation Formats

Anand, N., Chen, Hongbin, Fitzpatrick, A. Liam, Kaplan, Jared, and Li, Daliang. An exact operator that knows its location. United States: N. p., 2018. Web. doi:10.1007/jhep02(2018)012.
Anand, N., Chen, Hongbin, Fitzpatrick, A. Liam, Kaplan, Jared, & Li, Daliang. An exact operator that knows its location. United States. https://doi.org/10.1007/jhep02(2018)012
Anand, N., Chen, Hongbin, Fitzpatrick, A. Liam, Kaplan, Jared, and Li, Daliang. Fri . "An exact operator that knows its location". United States. https://doi.org/10.1007/jhep02(2018)012. https://www.osti.gov/servlets/purl/1501932.
@article{osti_1501932,
title = {An exact operator that knows its location},
author = {Anand, N. and Chen, Hongbin and Fitzpatrick, A. Liam and Kaplan, Jared and Li, Daliang},
abstractNote = {We use conformal symmetry to define an AdS3 proto-field φ as an exact linear combination of Virasoro descendants of a CFT2 primary operator O . We find that both symmetry considerations and a gravitational Wilson line formalism lead to the same results. The operator φ has many desirable properties; in particular it has correlators that agree with gravitational perturbation theory when expanded at large c, and that automatically take the correct form in all vacuum AdS3 geometries, including BTZ black hole backgrounds. In the future it should be possible to use φ to probe bulk locality and black hole horizons at a non-perturbative level.},
doi = {10.1007/jhep02(2018)012},
journal = {Journal of High Energy Physics (Online)},
number = 2,
volume = 2018,
place = {United States},
year = {Fri Feb 02 00:00:00 EST 2018},
month = {Fri Feb 02 00:00:00 EST 2018}
}

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Cited by: 33 works
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Works referenced in this record:

Holographic representation of local bulk operators
journal, September 2006


Virasoro conformal blocks and thermality from classical background fields
journal, November 2015

  • Fitzpatrick, A. Liam; Kaplan, Jared; Walters, Matthew T.
  • Journal of High Energy Physics, Vol. 2015, Issue 11
  • DOI: 10.1007/JHEP11(2015)200

Continuous Multiscale Entanglement Renormalization Ansatz as Holographic Surface-State Correspondence
journal, October 2015


An apologia for firewalls
journal, September 2013

  • Almheiri, Ahmed; Marolf, Donald; Polchinski, Joseph
  • Journal of High Energy Physics, Vol. 2013, Issue 9
  • DOI: 10.1007/JHEP09(2013)018

Holographic conformal blocks from interacting Wilson lines
journal, August 2016

  • Besken, Mert; Hegde, Ashwin; Hijano, Eliot
  • Journal of High Energy Physics, Vol. 2016, Issue 8
  • DOI: 10.1007/JHEP08(2016)099

CFT descriptions of bulk local states in the AdS black holes
journal, October 2017

  • Goto, Kanato; Takayanagi, Tadashi
  • Journal of High Energy Physics, Vol. 2017, Issue 10
  • DOI: 10.1007/JHEP10(2017)153

Black hole collapse in the 1/c expansion
journal, July 2016

  • Anous, Tarek; Hartman, Thomas; Rovai, Antonin
  • Journal of High Energy Physics, Vol. 2016, Issue 7
  • DOI: 10.1007/JHEP07(2016)123

Constructing local bulk observables in interacting AdS/CFT
journal, May 2011


Holographic entanglement entropy from 2d CFT: heavy states and local quenches
journal, February 2015

  • Asplund, Curtis T.; Bernamonti, Alice; Galli, Federico
  • Journal of High Energy Physics, Vol. 2015, Issue 2
  • DOI: 10.1007/JHEP02(2015)171

Quantum entanglement of localized excited states at finite temperature
journal, January 2015

  • Caputa, Pawel; Simón, Joan; Štikonas, Andrius
  • Journal of High Energy Physics, Vol. 2015, Issue 1
  • DOI: 10.1007/JHEP01(2015)102

Holographic representation of bulk fields with spin in AdS/CFT
journal, July 2012


An infalling observer in AdS/CFT
journal, October 2013

  • Papadodimas, Kyriakos; Raju, Suvrat
  • Journal of High Energy Physics, Vol. 2013, Issue 10
  • DOI: 10.1007/JHEP10(2013)212

The bootstrap program for boundary CFT d
journal, July 2013

  • Liendo, Pedro; Rastelli, Leonardo; van Rees, Balt C.
  • Journal of High Energy Physics, Vol. 2013, Issue 7
  • DOI: 10.1007/JHEP07(2013)113

Bulk locality and quantum error correction in AdS/CFT
journal, April 2015

  • Almheiri, Ahmed; Dong, Xi; Harlow, Daniel
  • Journal of High Energy Physics, Vol. 2015, Issue 4
  • DOI: 10.1007/JHEP04(2015)163

Exact Virasoro blocks from Wilson lines and background-independent operators
journal, July 2017

  • Fitzpatrick, A. Liam; Kaplan, Jared; Li, Daliang
  • Journal of High Energy Physics, Vol. 2017, Issue 7
  • DOI: 10.1007/JHEP07(2017)092

A stereoscopic look into the bulk
journal, July 2016

  • Czech, Bartlomiej; Lamprou, Lampros; McCandlish, Samuel
  • Journal of High Energy Physics, Vol. 2016, Issue 7
  • DOI: 10.1007/JHEP07(2016)129

Boundary-to-bulk maps for AdS causal wedges and the Reeh-Schlieder property in holography
journal, May 2014


Reconstruction of Bulk Operators within the Entanglement Wedge in Gauge-Gravity Duality
journal, July 2016


On the late-time behavior of Virasoro blocks and a classification of semiclassical saddles
journal, April 2017

  • Fitzpatrick, A. Liam; Kaplan, Jared
  • Journal of High Energy Physics, Vol. 2017, Issue 4
  • DOI: 10.1007/JHEP04(2017)072

Null geodesics, local CFT operators, and AdS/CFT for subregions
journal, September 2013


Decoding the hologram: Scalar fields interacting with gravity
journal, March 2014


A numerical approach to Virasoro blocks and the information paradox
journal, September 2017

  • Chen, Hongbin; Hussong, Charles; Kaplan, Jared
  • Journal of High Energy Physics, Vol. 2017, Issue 9
  • DOI: 10.1007/JHEP09(2017)102

CFT representation of interacting bulk gauge fields in AdS
journal, April 2013


AdS/CFT four-point functions: How to succeed at z-integrals without really trying
journal, November 1999


Bulk locality and boundary creating operators
journal, October 2015


A CFT perspective on gravitational dressing and bulk locality
journal, January 2017

  • Lewkowycz, Aitor; Turiaci, Gustavo J.; Verlinde, Herman
  • Journal of High Energy Physics, Vol. 2017, Issue 1
  • DOI: 10.1007/JHEP01(2017)004

On the construction of charged operators inside an eternal black hole
journal, January 2017


The gravity dual of a density matrix
journal, July 2012


Time evolution of entanglement entropy from a pulse
journal, December 2012


Construction of local fields in the bulk of AdS 5 and other spaces
journal, August 2000


Bulk and boundary operators in conformal field theory
journal, April 1991


Universality of long-distance AdS physics from the CFT bootstrap
journal, August 2014

  • Fitzpatrick, A. Liam; Kaplan, Jared; Walters, Matthew T.
  • Journal of High Energy Physics, Vol. 2014, Issue 8
  • DOI: 10.1007/JHEP08(2014)145

Worldline approach to semi-classical conformal blocks
journal, July 2015

  • Hijano, Eliot; Kraus, Per; Snively, River
  • Journal of High Energy Physics, Vol. 2015, Issue 7
  • DOI: 10.1007/JHEP07(2015)131

Bulk and transhorizon measurements in AdS/CFT
journal, October 2012

  • Heemskerk, Idse; Marolf, Donald; Polchinski, Joseph
  • Journal of High Energy Physics, Vol. 2012, Issue 10
  • DOI: 10.1007/JHEP10(2012)165

Black holes: complementarity or firewalls?
journal, February 2013

  • Almheiri, Ahmed; Marolf, Donald; Polchinski, Joseph
  • Journal of High Energy Physics, Vol. 2013, Issue 2
  • DOI: 10.1007/JHEP02(2013)062

On information loss in AdS3/CFT2
journal, May 2016

  • Fitzpatrick, A. Liam; Kaplan, Jared; Li, Daliang
  • Journal of High Energy Physics, Vol. 2016, Issue 5
  • DOI: 10.1007/JHEP05(2016)109

Conformal field theory, two-dimensional quantum gravity and quantization of Teichmüller space
journal, June 1990


The information paradox and the infall problem
journal, May 2011


Local bulk S -matrix elements and conformal field theory singularities
journal, October 2009


Wilson lines and entanglement entropy in higher spin gravity
journal, October 2013

  • Ammon, Martin; Castro, Alejandra; Iqbal, Nabil
  • Journal of High Energy Physics, Vol. 2013, Issue 10
  • DOI: 10.1007/JHEP10(2013)110

Graviton exchange and complete four-point functions in the AdS/CFT correspondence
journal, November 1999


Looking for a bulk point
journal, January 2017

  • Maldacena, Juan; Simmons-Duffin, David; Zhiboedov, Alexander
  • Journal of High Energy Physics, Vol. 2017, Issue 1
  • DOI: 10.1007/JHEP01(2017)013

Local bulk operators in AdS/CFT correspondence: A boundary view of horizons and locality
journal, April 2006


Bulk local states and crosscaps in holographic CFT
journal, October 2016


Effective conformal theory and the flat-space limit of AdS
journal, July 2011

  • Fitzpatrick, A. Liam; Katz, Emanuel; Poland, David
  • Journal of High Energy Physics, Vol. 2011, Issue 7
  • DOI: 10.1007/JHEP07(2011)023

Bulk locality from modular flow
journal, July 2017

  • Faulkner, Thomas; Lewkowycz, Aitor
  • Journal of High Energy Physics, Vol. 2017, Issue 7
  • DOI: 10.1007/JHEP07(2017)151

Typicality versus thermality: an analytic distinction
journal, February 2008

  • Balasubramanian, Vijay; Czech, Bartłomiej; Hubeny, Veronika E.
  • General Relativity and Gravitation, Vol. 40, Issue 9
  • DOI: 10.1007/s10714-008-0606-8

The information paradox: a pedagogical introduction
journal, October 2009


Three-dimensional quantum geometry and black holes
conference, January 1999

  • Bañados, Máximo
  • The second meeting on trends in theoretical physics, AIP Conference Proceedings
  • DOI: 10.1063/1.59661

Bulk equations of motion from CFT correlators
journal, September 2015


The S-matrix bootstrap. Part I: QFT in AdS
journal, November 2017

  • Paulos, Miguel F.; Penedones, Joao; Toledo, Jonathan
  • Journal of High Energy Physics, Vol. 2017, Issue 11
  • DOI: 10.1007/JHEP11(2017)133

Locality, bulk equations of motion and the conformal bootstrap
journal, October 2016


Constructing local bulk observables in interacting AdS/CFT
text, January 2011


Holographic representation of bulk fields with spin in AdS/CFT
text, January 2012


Works referencing / citing this record:

Holographic relations for OPE blocks in excited states
journal, March 2019

  • Cresswell, Jesse C.; Jardine, Ian T.; Peet, Amanda W.
  • Journal of High Energy Physics, Vol. 2019, Issue 3
  • DOI: 10.1007/jhep03(2019)058

Quantum Regge trajectories and the Virasoro analytic bootstrap
journal, May 2019

  • Collier, Scott; Gobeil, Yan; Maxfield, Henry
  • Journal of High Energy Physics, Vol. 2019, Issue 5
  • DOI: 10.1007/jhep05(2019)212

The bulk-to-boundary propagator in black hole microstate backgrounds
journal, June 2019

  • Chen, Hongbin; Fitzpatrick, A. Liam; Kaplan, Jared
  • Journal of High Energy Physics, Vol. 2019, Issue 6
  • DOI: 10.1007/jhep06(2019)107

Flat space physics from AdS/CFT
journal, July 2019


AdS3 reconstruction with general gravitational dressings
journal, July 2019

  • Chen, Hongbin; Kaplan, Jared; Sharma, Utkarsh
  • Journal of High Energy Physics, Vol. 2019, Issue 7
  • DOI: 10.1007/jhep07(2019)141

Superconformal blocks from Wilson lines with loop corrections
journal, August 2018

  • Hikida, Yasuaki; Uetoko, Takahiro
  • Journal of High Energy Physics, Vol. 2018, Issue 8
  • DOI: 10.1007/jhep08(2018)101

Universal lowest-twist in CFTs from holography
journal, August 2019

  • Fitzpatrick, A. Liam; Huang, Kuo-Wei
  • Journal of High Energy Physics, Vol. 2019, Issue 8
  • DOI: 10.1007/jhep08(2019)138

Note on bulk reconstruction in AdS 3 / warped CFT 2
journal, October 2019


Entanglement wedge reconstruction and entanglement of purification
journal, August 2018


Entanglement Wedge Reconstruction and Entanglement of Purification
text, January 2018


Superconformal blocks from Wilson lines with loop corrections
text, January 2018


Holographic relations for OPE blocks in excited states
text, January 2018


The Bulk-to-Boundary Propagator in Black Hole Microstate Backgrounds
preprint, January 2018


Quantum Regge Trajectories and the Virasoro Analytic Bootstrap
text, January 2018


Universal Lowest-Twist in CFTs from Holography
text, January 2019