Conformally invariant averaged null energy condition from AdS/CFT

A bstract We study the compatibility of the AdS/CFT duality with the bulk and boundary causality, and derive a conformally invariant averaged null energy condition (CANEC) for quantum field theories in 3 and 5-dimensional curved boundaries. This is the generalization of the averaged null energy cond...

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Bibliographic Details
Published in:The journal of high energy physics 2020-03, Vol.2020 (3), p.1-22, Article 161
Main Authors: Iizuka, Norihiro, Ishibashi, Akihiro, Maeda, Kengo
Format: Article
Language:English
Subjects:
AdS-CFT Correspondence
Boundaries
Causality
Censorship
Classical and Quantum Gravitation
Elementary Particles
Energy
Field Theories in Higher Dimensions
Gauge-gravity correspondence
Gravity
High energy physics
Invariants
Minkowski space
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Quantum theory
Regular Article - Theoretical Physics
Relativity Theory
Spacetime
String Theory
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Summary:A bstract We study the compatibility of the AdS/CFT duality with the bulk and boundary causality, and derive a conformally invariant averaged null energy condition (CANEC) for quantum field theories in 3 and 5-dimensional curved boundaries. This is the generalization of the averaged null energy condition (ANEC) in Minkowski spacetime to curved boundaries, where null energy is averaged along the null line with appropriate weight for conformal invariance. For this purpose we take, as our guiding principle, the no-bulk-shortcut theorem of Gao and Wald, which essentially asserts that when going from one point to another on the boundary, one cannot take a “shortcut through the bulk”. We also discuss the relationship between bulk vs boundary causality and the weak cosmic censorship.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP03(2020)161