Holographic proof of the quantum null energy condition

Koeller, Jason; Leichenauer, Stefan

doi:10.1103/PhysRevD.94.024026

Title: Holographic proof of the quantum null energy condition

Authors:: Koeller, Jason; Leichenauer, Stefan

Publication Date:: Tue Jul 12 00:00:00 EDT 2016

Sponsoring Org.:: USDOE

OSTI Identifier:: 1261701

Grant/Contract Number:: AC02-05CH11231

Resource Type:: Publisher's Accepted Manuscript

Journal Name:: Physical Review D

Additional Journal Information:: Journal Name: Physical Review D Journal Volume: 94 Journal Issue: 2; Journal ID: ISSN 2470-0010

Publisher:: American Physical Society

Country of Publication:: United States

Language:: English

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                    Koeller, Jason, and Leichenauer, Stefan. Holographic proof of the quantum null energy condition.  United States: N. p., 2016. 
Web.  doi:10.1103/PhysRevD.94.024026.

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                    Koeller, Jason, & Leichenauer, Stefan. Holographic proof of the quantum null energy condition.  United States.  https://doi.org/10.1103/PhysRevD.94.024026

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                    Koeller, Jason, and Leichenauer, Stefan. Tue .  
"Holographic proof of the quantum null energy condition".  United States.  https://doi.org/10.1103/PhysRevD.94.024026.

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@article{osti_1261701,

  title        = {Holographic proof of the quantum null energy condition},

  author       = {Koeller, Jason and Leichenauer, Stefan},

  abstractNote = {},

  doi          = {10.1103/PhysRevD.94.024026},

  journal      = {Physical Review D},

  number       = 2,

  volume       = 94,

  place        = {United States},

  year         = {Tue Jul 12 00:00:00 EDT 2016},

  month        = {Tue Jul 12 00:00:00 EDT 2016}

}

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Works referenced in this record:

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Title: Holographic proof of the quantum null energy condition

Citation Formats

Topological censorship journal, September 1993

Entanglement Equilibrium and the Einstein Equation journal, May 2016

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

Gravitational Collapse and Space-Time Singularities journal, January 1965

Large Mass Hierarchy from a Small Extra Dimension journal, October 1999

On the architecture of spacetime geometry journal, October 2014

On spacetime entanglement journal, June 2013

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

Gravitational Radiation from Colliding Black Holes journal, May 1971

Towards a derivation of holographic entanglement entropy journal, May 2011

Holographic local quenches and entanglement density journal, May 2013

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

Theorems on gravitational time delay and related issues journal, November 2000

Some calculable contributions to holographic entanglement entropy journal, August 2011

The generalized second law implies a quantum singularity theorem journal, July 2013

General Relativity book, January 1984

A finite entanglement entropy and the c-theorem journal, October 2004

Entanglement entropy for relevant and geometric perturbations journal, February 2015

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

The quantum interest conjecture journal, October 1999

Entanglement entropy, trace anomalies and holography journal, September 2008

Renormalization group flows from holography: Supersymmetry and a $c$-theorem journal, January 1999

Rényi entropy, stationarity, and entanglement of the conformal scalar journal, March 2015

A covariant holographic entanglement entropy proposal journal, July 2007

Corrigendum: The generalized second law implies a quantum singularity theorem journal, September 2013

Testing the generalized second law in 1 + 1 dimensional conformal vacua: An argument for the causal horizon journal, January 2012

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

Aspects of holographic entanglement entropy journal, August 2006

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

Seeing a c-theorem with holography journal, August 2010

Dynamics of entanglement entropy from Einstein equation journal, July 2013

Entanglement entropy: a perturbative calculation journal, December 2014

Topological Censorship[Phys. Rev. Lett. 71, 1486 (1993)] journal, August 1995

Chronology protection conjecture journal, July 1992

The gravity dual of a density matrix journal, July 2012

New Area Law in General Relativity journal, August 2015

Diffeomorphisms and holographic anomalies journal, February 2000

Conformal anomaly of submanifold observables in AdS/CFT correspondence journal, April 1999

An obstacle to creating a universe in the laboratory journal, January 1987

On the shape dependence of Entanglement Entropy journal, December 2015

Proof of the generalized second law for rapidly changing fields and arbitrary horizon slices journal, May 2012

Black Holes and Entropy journal, April 1973

Entanglement density and gravitational thermodynamics journal, May 2015

Quantum focusing conjecture journal, March 2016

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

Holographic c-theorems in arbitrary dimensions journal, January 2011

Averaged energy conditions and quantum inequalities journal, April 1995

An Alternative to Compactification journal, December 1999

Renormalization group running of the entanglement entropy of a circle journal, June 2012

The Large Scale Structure of Space-Time book, January 2010

A coarse-grained generalized second law for holographic conformal field theories journal, February 2016

Wormholes, Time Machines, and the Weak Energy Condition journal, September 1988

On renormalization group flows in four dimensions journal, December 2011

Restrictions on negative energy density in flat spacetime journal, February 1997

Holographic entanglement entropy for general higher derivative gravity journal, January 2014

Ads/CFT correspondence and symmetry breaking journal, September 1999

Proof of the quantum null energy condition journal, January 2016

On the stress tensor of conformal field theories in higher dimensions journal, March 1989

Quantum corrections to holographic entanglement entropy journal, November 2013

Erratum: Proof of the generalized second law for rapidly changing fields and arbitrary horizon slices [Phys. Rev. D 85 , 104049 (2012)] journal, March 2013

Gravitation from entanglement in holographic CFTs journal, March 2014

Topological censorship
journal, September 1993

Entanglement Equilibrium and the Einstein Equation
journal, May 2016

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

Gravitational Collapse and Space-Time Singularities
journal, January 1965

Large Mass Hierarchy from a Small Extra Dimension
journal, October 1999

On the architecture of spacetime geometry
journal, October 2014

On spacetime entanglement
journal, June 2013

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

Gravitational Radiation from Colliding Black Holes
journal, May 1971

Towards a derivation of holographic entanglement entropy
journal, May 2011

Holographic local quenches and entanglement density
journal, May 2013

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

Theorems on gravitational time delay and related issues
journal, November 2000

Some calculable contributions to holographic entanglement entropy
journal, August 2011

The generalized second law implies a quantum singularity theorem
journal, July 2013

General Relativity
book, January 1984

A finite entanglement entropy and the c-theorem
journal, October 2004

Entanglement entropy for relevant and geometric perturbations
journal, February 2015

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

The quantum interest conjecture
journal, October 1999

Entanglement entropy, trace anomalies and holography
journal, September 2008

Renormalization group flows from holography: Supersymmetry and a $c$-theorem
journal, January 1999

Rényi entropy, stationarity, and entanglement of the conformal scalar
journal, March 2015

A covariant holographic entanglement entropy proposal
journal, July 2007

Corrigendum: The generalized second law implies a quantum singularity theorem
journal, September 2013

Testing the generalized second law in $1 + 1$ dimensional conformal vacua: An argument for the causal horizon
journal, January 2012

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

Aspects of holographic entanglement entropy
journal, August 2006

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

Seeing a c-theorem with holography
journal, August 2010

Dynamics of entanglement entropy from Einstein equation
journal, July 2013

Entanglement entropy: a perturbative calculation
journal, December 2014

Topological Censorship[Phys. Rev. Lett. 71, 1486 (1993)]
journal, August 1995

Chronology protection conjecture
journal, July 1992

The gravity dual of a density matrix
journal, July 2012

New Area Law in General Relativity
journal, August 2015

Diffeomorphisms and holographic anomalies
journal, February 2000

Conformal anomaly of submanifold observables in AdS/CFT correspondence
journal, April 1999

An obstacle to creating a universe in the laboratory
journal, January 1987

On the shape dependence of Entanglement Entropy
journal, December 2015

Proof of the generalized second law for rapidly changing fields and arbitrary horizon slices
journal, May 2012

Black Holes and Entropy
journal, April 1973

Entanglement density and gravitational thermodynamics
journal, May 2015

Quantum focusing conjecture
journal, March 2016

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

Holographic c-theorems in arbitrary dimensions
journal, January 2011

Averaged energy conditions and quantum inequalities
journal, April 1995

An Alternative to Compactification
journal, December 1999

Renormalization group running of the entanglement entropy of a circle
journal, June 2012

The Large Scale Structure of Space-Time
book, January 2010

A coarse-grained generalized second law for holographic conformal field theories
journal, February 2016

Wormholes, Time Machines, and the Weak Energy Condition
journal, September 1988

On renormalization group flows in four dimensions
journal, December 2011

Restrictions on negative energy density in flat spacetime
journal, February 1997

Holographic entanglement entropy for general higher derivative gravity
journal, January 2014

Ads/CFT correspondence and symmetry breaking
journal, September 1999

Proof of the quantum null energy condition
journal, January 2016

On the stress tensor of conformal field theories in higher dimensions
journal, March 1989

Quantum corrections to holographic entanglement entropy
journal, November 2013

Erratum: Proof of the generalized second law for rapidly changing fields and arbitrary horizon slices [Phys. Rev. D 85 , 104049 (2012)]
journal, March 2013

Gravitation from entanglement in holographic CFTs
journal, March 2014