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

被引:13
作者
Akers, Chris [1 ]
Chandrasekaran, Venkatesa [1 ]
Leichenauer, Stefan [1 ]
Levine, Adam [1 ]
Moghaddam, Arvin Shahbazi [1 ]
机构
[1] Univ Calif Berkeley, Ctr Theoret Phys, Berkeley, CA 94720 USA
基金
美国国家科学基金会;
关键词
D O I
10.1103/PhysRevD.101.025011
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
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.
引用
收藏
页数:21
相关论文
共 37 条
[1]  
[Anonymous], CLASSICAL QUANTUM GR
[2]   Quantum focusing conjecture [J].
Bousso, Raphael ;
Fisher, Zachary ;
Leichenauer, Stefan ;
Wall, Aron C. .
PHYSICAL REVIEW D, 2016, 93 (06)
[3]   Generalized second law for cosmology [J].
Bousso, Raphael ;
Engelhardt, Netta .
PHYSICAL REVIEW D, 2016, 93 (02)
[4]   Proof of the quantum null energy condition [J].
Bousso, Raphael ;
Fisher, Zachary ;
Koeller, Jason ;
Leichenauer, Stefan ;
Wall, Aron C. .
PHYSICAL REVIEW D, 2016, 93 (02)
[5]   Markov Property of the Conformal Field Theory Vacuum and the a Theorem [J].
Casini, Horacio ;
Teste, Eduardo ;
Torroba, Gonzalo .
PHYSICAL REVIEW LETTERS, 2017, 118 (26)
[6]   The gravity dual of a density matrix [J].
Czech, Bartlomiej ;
Karczmarek, Joanna L. ;
Nogueira, Fernando ;
Van Raamsdonk, Mark .
CLASSICAL AND QUANTUM GRAVITY, 2012, 29 (15)
[7]   Holographic reconstruction of spacetime and renormalization in the AdS/CFT correspondence [J].
de Haro, S ;
Skenderis, K ;
Solodukhin, SN .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2001, 217 (03) :595-622
[8]   Entropy, extremality, euclidean variations, and the equations of motion [J].
Dong, Xi ;
Lewkowycz, Aitor .
JOURNAL OF HIGH ENERGY PHYSICS, 2018, (01)
[9]   Reconstruction of Bulk Operators within the Entanglement Wedge in Gauge-Gravity Duality [J].
Dong, Xi ;
Harlow, Daniel ;
Wall, Aron C. .
PHYSICAL REVIEW LETTERS, 2016, 117 (02)
[10]   Holographic entanglement entropy for general higher derivative gravity [J].
Dong, Xi .
JOURNAL OF HIGH ENERGY PHYSICS, 2014, (01)