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A holographic proof of the averaged null energy condition

The averaged null energy conditions (ANEC) states that, along a complete null curve, the negative energy fluctuations of a quantum field must be balanced by positive energy fluctuations. We use the AdS/CFT correspondence to prove the ANEC for a class of strongly coupled conformal field theories in flat spacetime. A violation of the ANEC in the field theory would lead to acausal propagation of signals in the bulk.

preprint2015arXivOpen access
William R. KellyAron C. Wall
gr-qchep-th
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William R. KellyAron C. Wall

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