Boundary dual of bulk local operators

Sanches, Fabio; Weinberg, Sean J.

doi:10.1103/PhysRevD.96.026004

Title: Boundary dual of bulk local operators

Abstract

We provide a procedure to determine if a given nonlocal operator in a large N holographic CFT is dual to a local bulk operator on the geometry associated with a particular code subspace of the CFT. This procedure does not presuppose knowledge of the bulk geometry. We are able to pick out local operators in a large region of the bulk, called the "localizable region,"' that can extend beyond event horizons in certain cases. The method relies heavily on the quantum-error correcting structure of AdS/CFT and, in particular, on entanglement wedge reconstruction. As a byproduct of this machinery, we are able to reconstruct the metric in the localizable region up to a conformal factor. This suggests a connection between our program and the recent light-cone cut approach to bulk reconstruction.

Authors:

Sanches, Fabio ^[1]; Weinberg, Sean J. ^[2]

Univ. of California, Berkeley, CA (United States)
Univ. of California, Santa Barbara, CA (United States)

Publication Date:: Mon Jul 10 00:00:00 EDT 2017

Research Org.:: Univ. of California, Santa Barbara, CA (United States)

Sponsoring Org.:: USDOE Office of Science (SC), High Energy Physics (HEP)

OSTI Identifier:: 1601982

Alternate Identifier(s):: OSTI ID: 1369101

Grant/Contract Number:: SC0011702

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review D

Additional Journal Information:: Journal Volume: 96; Journal Issue: 2; Journal ID: ISSN 2470-0010

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats


                    Sanches, Fabio, and Weinberg, Sean J. Boundary dual of bulk local operators.  United States: N. p., 2017. 
Web.  doi:10.1103/PhysRevD.96.026004.

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                    Sanches, Fabio, & Weinberg, Sean J. Boundary dual of bulk local operators.  United States.  https://doi.org/10.1103/PhysRevD.96.026004

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                    Sanches, Fabio, and Weinberg, Sean J. Mon .  
"Boundary dual of bulk local operators".  United States.  https://doi.org/10.1103/PhysRevD.96.026004.  https://www.osti.gov/servlets/purl/1601982.

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@article{osti_1601982,

  title        = {Boundary dual of bulk local operators},

  author       = {Sanches, Fabio and Weinberg, Sean J.},

  abstractNote = {We provide a procedure to determine if a given nonlocal operator in a large N holographic CFT is dual to a local bulk operator on the geometry associated with a particular code subspace of the CFT. This procedure does not presuppose knowledge of the bulk geometry. We are able to pick out local operators in a large region of the bulk, called the "localizable region,"' that can extend beyond event horizons in certain cases. The method relies heavily on the quantum-error correcting structure of AdS/CFT and, in particular, on entanglement wedge reconstruction. As a byproduct of this machinery, we are able to reconstruct the metric in the localizable region up to a conformal factor. This suggests a connection between our program and the recent light-cone cut approach to bulk reconstruction.},

  doi          = {10.1103/PhysRevD.96.026004},

  journal      = {Physical Review D},

  number       = 2,

  volume       = 96,

  place        = {United States},

  year         = {Mon Jul 10 00:00:00 EDT 2017},

  month        = {Mon Jul 10 00:00:00 EDT 2017}

}

Copy to clipboard

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Cited by: 14 works

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Works referenced in this record:

Holographic representation of local bulk operators
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Hamilton, Alex; Kabat, Daniel; Lifschytz, Gilad
Physical Review D, Vol. 74, Issue 6
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Holographic definition of points and distances
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Deriving covariant holographic entanglement
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Causal holographic information
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Bulk locality and quantum error correction in AdS/CFT
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Generalized gravitational entropy
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Lewkowycz, Aitor; Maldacena, Juan
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Null geodesics, local CFT operators, and AdS/CFT for subregions
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Holographic probes of collapsing black holes
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Holography from Conformal Field Theory
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Constructing local bulk observables in interacting AdS/CFT
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Kabat, Daniel; Lifschytz, Gilad; Lowe, David A.
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Bulk and Transhorizon Measurements in AdS/CFT
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Heemskerk, Idse; Marolf, Donald; Polchinski, Joseph
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Null Geodesics, Local CFT Operators and AdS/CFT for Subregions
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Generalized gravitational entropy
text, January 2013

Lewkowycz, Aitor; Maldacena, Juan
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The entropy of a hole in spacetime
text, January 2013

Balasubramanian, Vijay; Czech, Bartlomiej; Chowdhury, Borun D.
arXiv
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Extremal Surface Barriers
text, January 2013

Engelhardt, Netta; Wall, Aron C.
arXiv
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Holographic probes of collapsing black holes
text, January 2013

Hubeny, Veronika E.; Maxfield, Henry
arXiv
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Boundary-to-bulk maps for AdS causal wedges and the Reeh-Schlieder property in holography
text, January 2014

Morrison, Ian A.
arXiv
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Holographic Reconstruction of General Bulk Surfaces
text, January 2014

Czech, Bartlomiej; Dong, Xi; Sully, James
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Entwinement and the emergence of spacetime
text, January 2014

Balasubramanian, Vijay; Chowdhury, Borun D.; Czech, Bartlomiej
arXiv
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Holographic Holes and Differential Entropy
text, January 2014

Headrick, Matthew; Myers, Robert C.; Wien, Jason
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Causality & holographic entanglement entropy
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Headrick, Matthew; Hubeny, Veronika E.; Lawrence, Albion
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The Gravity Duals of Modular Hamiltonians
preprint, January 2014

Jafferis, Daniel L.; Suh, S. Josephine
arXiv
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Diffeomorphism-invariant observables and their nonlocal algebra
text, January 2015

Donnelly, William; Giddings, Steven B.
arXiv
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Towards a Reconstruction of General Bulk Metrics
text, January 2016

Engelhardt, Netta; Horowitz, Gary T.
arXiv
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New Insights into Quantum Gravity from Gauge/gravity Duality
text, January 2016

Engelhardt, Netta; Horowitz, Gary T.
arXiv
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Deriving covariant holographic entanglement
text, January 2016

Dong, Xi; Lewkowycz, Aitor; Rangamani, Mukund
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Holographic representation of local bulk operators
text, January 2006

Hamilton, Alex; Kabat, Daniel; Lifschytz, Gilad
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Witten, Edward
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Works referencing / citing this record:

Entanglement wedge reconstruction and entanglement of purification
journal, August 2018

Espíndola, Ricardo; Güijosa, Alberto; Pedraza, Juan F.
The European Physical Journal C, Vol. 78, Issue 8
DOI: 10.1140/epjc/s10052-018-6140-2

De Finetti theorems and entanglement in large-N theories and gravity
text, January 2017

Magan, Javier M.
arXiv
DOI: 10.48550/arxiv.1705.03048

Entanglement Wedge Reconstruction and Entanglement of Purification
text, January 2018

Espíndola, Ricardo; Guijosa, Alberto; Pedraza, Juan F.
arXiv
DOI: 10.48550/arxiv.1804.05855

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Similar Records

Title: Boundary dual of bulk local operators

Abstract

Citation Formats

Holographic representation of local bulk operators journal, September 2006

Towards a reconstruction of general bulk metrics journal, December 2016

Black Hole Interior in Quantum Gravity journal, May 2015

Quantum error correction of observables journal, October 2007

The gravity duals of modular Hamiltonians journal, September 2016

Holographic holes and differential entropy journal, October 2014

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

Black holes: complementarity or firewalls? journal, February 2013

The Large-N Limit of Superconformal Field Theories and Supergravity journal, January 1999

Holographic reconstruction of general bulk surfaces journal, November 2014

Holographic definition of points and distances journal, November 2014

Deriving covariant holographic entanglement journal, November 2016

Entwinement and the emergence of spacetime journal, January 2015

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

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

Entropy of a vacuum: What does the covariant entropy count? journal, November 2014

Exploring the bulk in AdS / CFT : A covariant approach journal, March 2017

Extremal surface barriers journal, March 2014

Looking for a bulk point journal, January 2017

Causal holographic information journal, June 2012

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

Causality & holographic entanglement entropy journal, December 2014

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

Remarks on the necessity and implications of state-dependence in the black hole interior journal, April 2016

Anti de Sitter space and holography journal, January 1998

Generalization of Quantum Error Correction via the Heisenberg Picture journal, March 2007

Maximin surfaces, and the strong subadditivity of the covariant holographic entanglement entropy journal, November 2014

A covariant holographic entanglement entropy proposal journal, July 2007

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

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

Generalized gravitational entropy journal, August 2013

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

Erratum: Diffeomorphism-invariant observables and their nonlocal algebra [Phys. Rev. D 93 , 024030 (2016)] journal, July 2016

New insights into quantum gravity from gauge/gravity duality journal, October 2016

Black holes, AdS, and CFTs journal, February 2009

Integral geometry and holography journal, October 2015

Holographic probes of collapsing black holes journal, March 2014

Relative entropy equals bulk relative entropy journal, June 2016

Holography from conformal field theory journal, October 2009

The entropy of a hole in spacetime journal, October 2013

Bulk curves from boundary data in holography journal, April 2014

Observables, gravitational dressing, and obstructions to locality and subsystems journal, November 2016

Diffeomorphism-invariant observables and their nonlocal algebra journal, January 2016

A Covariant Holographic Entanglement Entropy Proposal text, January 2007

Holography from Conformal Field Theory text, January 2009

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

Bulk and Transhorizon Measurements in AdS/CFT text, January 2012

Null Geodesics, Local CFT Operators and AdS/CFT for Subregions text, January 2012

Generalized gravitational entropy text, January 2013

The entropy of a hole in spacetime text, January 2013

Extremal Surface Barriers text, January 2013

Holographic probes of collapsing black holes text, January 2013

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

Holographic Reconstruction of General Bulk Surfaces text, January 2014

Entwinement and the emergence of spacetime text, January 2014

Holographic Holes and Differential Entropy text, January 2014

Causality & holographic entanglement entropy text, January 2014

The Gravity Duals of Modular Hamiltonians preprint, January 2014

Diffeomorphism-invariant observables and their nonlocal algebra text, January 2015

Towards a Reconstruction of General Bulk Metrics text, January 2016

New Insights into Quantum Gravity from Gauge/gravity Duality text, January 2016

Deriving covariant holographic entanglement text, January 2016

Holographic representation of local bulk operators text, January 2006

Anti De Sitter Space And Holography text, January 1998

Generalization of Quantum Error Correction via the Heisenberg Picture text, January 2006

Entanglement wedge reconstruction and entanglement of purification journal, August 2018

De Finetti theorems and entanglement in large-N theories and gravity text, January 2017

Entanglement Wedge Reconstruction and Entanglement of Purification text, January 2018

Holographic representation of local bulk operators
journal, September 2006

Towards a reconstruction of general bulk metrics
journal, December 2016

Black Hole Interior in Quantum Gravity
journal, May 2015

Quantum error correction of observables
journal, October 2007

The gravity duals of modular Hamiltonians
journal, September 2016

Holographic holes and differential entropy
journal, October 2014

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

Black holes: complementarity or firewalls?
journal, February 2013

The Large-N Limit of Superconformal Field Theories and Supergravity
journal, January 1999

Holographic reconstruction of general bulk surfaces
journal, November 2014

Holographic definition of points and distances
journal, November 2014

Deriving covariant holographic entanglement
journal, November 2016

Entwinement and the emergence of spacetime
journal, January 2015

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

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

Entropy of a vacuum: What does the covariant entropy count?
journal, November 2014

Exploring the bulk in $AdS / CFT$ : A covariant approach
journal, March 2017

Extremal surface barriers
journal, March 2014

Looking for a bulk point
journal, January 2017

Causal holographic information
journal, June 2012

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

Causality & holographic entanglement entropy
journal, December 2014

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

Remarks on the necessity and implications of state-dependence in the black hole interior
journal, April 2016

Anti de Sitter space and holography
journal, January 1998

Generalization of Quantum Error Correction via the Heisenberg Picture
journal, March 2007

Maximin surfaces, and the strong subadditivity of the covariant holographic entanglement entropy
journal, November 2014

A covariant holographic entanglement entropy proposal
journal, July 2007

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

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

Generalized gravitational entropy
journal, August 2013

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

Erratum: Diffeomorphism-invariant observables and their nonlocal algebra [Phys. Rev. D 93 , 024030 (2016)]
journal, July 2016

New insights into quantum gravity from gauge/gravity duality
journal, October 2016

Black holes, AdS, and CFTs
journal, February 2009

Integral geometry and holography
journal, October 2015

Holographic probes of collapsing black holes
journal, March 2014

Relative entropy equals bulk relative entropy
journal, June 2016

Holography from conformal field theory
journal, October 2009

The entropy of a hole in spacetime
journal, October 2013

Bulk curves from boundary data in holography
journal, April 2014

Observables, gravitational dressing, and obstructions to locality and subsystems
journal, November 2016

Diffeomorphism-invariant observables and their nonlocal algebra
journal, January 2016

A Covariant Holographic Entanglement Entropy Proposal
text, January 2007

Holography from Conformal Field Theory
text, January 2009

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

Bulk and Transhorizon Measurements in AdS/CFT
text, January 2012

Null Geodesics, Local CFT Operators and AdS/CFT for Subregions
text, January 2012

Generalized gravitational entropy
text, January 2013

The entropy of a hole in spacetime
text, January 2013

Extremal Surface Barriers
text, January 2013

Holographic probes of collapsing black holes
text, January 2013

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

Holographic Reconstruction of General Bulk Surfaces
text, January 2014

Entwinement and the emergence of spacetime
text, January 2014

Holographic Holes and Differential Entropy
text, January 2014

Causality & holographic entanglement entropy
text, January 2014

The Gravity Duals of Modular Hamiltonians
preprint, January 2014

Diffeomorphism-invariant observables and their nonlocal algebra
text, January 2015

Towards a Reconstruction of General Bulk Metrics
text, January 2016

New Insights into Quantum Gravity from Gauge/gravity Duality
text, January 2016

Deriving covariant holographic entanglement
text, January 2016

Holographic representation of local bulk operators
text, January 2006

Anti De Sitter Space And Holography
text, January 1998

Generalization of Quantum Error Correction via the Heisenberg Picture
text, January 2006

Entanglement wedge reconstruction and entanglement of purification
journal, August 2018

De Finetti theorems and entanglement in large-N theories and gravity
text, January 2017

Entanglement Wedge Reconstruction and Entanglement of Purification
text, January 2018