Conformally invariant averaged null energy condition from AdS/CFT

Abstract

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.

arXiv comment27 pages, 2 figures. v2: section 5 corrected. references added

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Cited by in corpus (7)

• Spectrum of End of the World Branes in Holographic BCFTs
• Quantum BMS transformations in conformally flat space-times and holography
• Global aspects of conformal symmetry and the ANEC in dS and AdS
• Achronal averaged null energy condition for extremal horizons and (A)dS
• Page Curve of AdS-Vaidya Model for Evaporating Black Holes
• The averaged null energy conditions in even dimensional curved spacetimes from AdS/CFT duality
• The averaged null energy condition on holographic evaporating black holes