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Title: Quantum null energy condition, entanglement wedge nesting, and quantum focusing

Journal Article · · Physical Review. D.

We study the consequences of entanglement wedge nesting for conformal field theories (CFTs) with holographic duals. The CFT is formulated on an arbitrary curved background, and we include the effects of curvature-squared couplings in the bulk. In this setup we find necessary and sufficient conditions for entanglement wedge nesting to imply the quantum null energy condition in d ≤ 5, extending its earlier holographic proofs. We also show that the quantum focusing conjecture yields the quantum null energy condition as its nongravitational limit under these same conditions.

Research Organization:
Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)
Sponsoring Organization:
USDOE Office of Science (SC); National Science Foundation (NSF)
Grant/Contract Number:
AC02-05CH11231; 1521446; 1316783
OSTI ID:
1593186
Alternate ID(s):
OSTI ID: 1756868
Journal Information:
Physical Review. D., Journal Name: Physical Review. D. Vol. 101 Journal Issue: 2; ISSN 2470-0010
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 7 works
Citation information provided by
Web of Science

References (36)

Topological censorship journal September 1993
Quantum extremal surfaces: holographic entanglement entropy beyond the classical regime journal January 2015
The gravity dual of a density matrix journal July 2012
Gravitational Collapse and Space-Time Singularities journal January 1965
Diffeomorphisms and holographic anomalies journal February 2000
On spacetime entanglement journal June 2013
Conformal anomaly of submanifold observables in AdS/CFT correspondence journal April 1999
Gravitational Radiation from Colliding Black Holes journal May 1971
Generalized second law for cosmology journal January 2016
AdS/CFT and gravity journal March 2001
The Ryu–Takayanagi Formula from Quantum Error Correction journal May 2017
Holographic proof of the quantum null energy condition journal July 2016
New exact solutions of quadratic curvature gravity journal July 2012
The quantum null energy condition in curved space journal October 2017
The generalized second law implies a quantum singularity theorem journal July 2013
Quantum focusing conjecture journal March 2016
Holographic Derivation of Entanglement Entropy from the anti–de Sitter Space/Conformal Field Theory Correspondence journal May 2006
Holography and compactification journal July 2000
An Alternative to Compactification journal December 1999
Entanglement entropy, trace anomalies and holography journal September 2008
A covariant holographic entanglement entropy proposal journal July 2007
Reconstruction of Bulk Operators within the Entanglement Wedge in Gauge-Gravity Duality journal July 2016
Corrigendum: The generalized second law implies a quantum singularity theorem journal September 2013
Holographic entanglement entropy for general higher derivative gravity journal January 2014
Violating the quantum focusing conjecture and quantum covariant entropy bound in d ⩾ 5 dimensions journal August 2017
Holographic Reconstruction of Spacetime¶and Renormalization in the AdS/CFT Correspondence journal March 2001
Corrigendum: The quantum null energy condition in curved space (2017 Class. Quantum Grav . 34 225012) journal January 2018
Markov Property of the Conformal Field Theory Vacuum and the a Theorem journal June 2017
Proof of the quantum null energy condition journal January 2016
Proving the achronal averaged null energy condition from the generalized second law journal January 2010
Quantum corrections to holographic entanglement entropy journal November 2013
Relative entropy equals bulk relative entropy journal June 2016
Entropy, extremality, euclidean variations, and the equations of motion journal January 2018
Gravitation from entanglement in holographic CFTs journal March 2014
Chronology protection conjecture journal July 1992
Topological Censorship[Phys. Rev. Lett. 71, 1486 (1993)] journal August 1995

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