Quantum null energy condition, entanglement wedge nesting, and quantum focusing
Abstract
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.
- Publication Date:
- Research Org.:
- Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC); National Science Foundation (NSF)
- OSTI Identifier:
- 1593186
- Alternate Identifier(s):
- OSTI ID: 1756868
- Grant/Contract Number:
- AC02-05CH11231; 1521446; 1316783
- Resource Type:
- Published Article
- Journal Name:
- Physical Review D
- Additional Journal Information:
- Journal Name: Physical Review D Journal Volume: 101 Journal Issue: 2; Journal ID: ISSN 2470-0010
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Conformal field theory; Gauge-gravity dualities; Quantum field theory; Quantum fields in curved spacetime
Citation Formats
Akers, Chris, Chandrasekaran, Venkatesa, Leichenauer, Stefan, Levine, Adam, and Shahbazi Moghaddam, Arvin. Quantum null energy condition, entanglement wedge nesting, and quantum focusing. United States: N. p., 2020.
Web. doi:10.1103/PhysRevD.101.025011.
Akers, Chris, Chandrasekaran, Venkatesa, Leichenauer, Stefan, Levine, Adam, & Shahbazi Moghaddam, Arvin. Quantum null energy condition, entanglement wedge nesting, and quantum focusing. United States. https://doi.org/10.1103/PhysRevD.101.025011
Akers, Chris, Chandrasekaran, Venkatesa, Leichenauer, Stefan, Levine, Adam, and Shahbazi Moghaddam, Arvin. Wed .
"Quantum null energy condition, entanglement wedge nesting, and quantum focusing". United States. https://doi.org/10.1103/PhysRevD.101.025011.
@article{osti_1593186,
title = {Quantum null energy condition, entanglement wedge nesting, and quantum focusing},
author = {Akers, Chris and Chandrasekaran, Venkatesa and Leichenauer, Stefan and Levine, Adam and Shahbazi Moghaddam, Arvin},
abstractNote = {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.},
doi = {10.1103/PhysRevD.101.025011},
journal = {Physical Review D},
number = 2,
volume = 101,
place = {United States},
year = {2020},
month = {1}
}
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