Corpus ID: 195218792

# Entropy Variations and Light Ray Operators from Replica Defects

@article{Balakrishnan2019EntropyVA,
title={Entropy Variations and Light Ray Operators from Replica Defects},
author={S. Balakrishnan and V. Chandrasekaran and T. Faulkner and A. Levine and Arvin Shahbazi-Moghaddam},
journal={arXiv: High Energy Physics - Theory},
year={2019}
}
We study the defect operator product expansion (OPE) of displacement operators in free and interacting conformal field theories using replica methods. We show that as $n$ approaches $1$ a contact term can emerge when the OPE contains defect operators of twist $d-2$. For interacting theories and general states we give evidence that the only possibility is from the defect operator that becomes the stress tensor in the $n\to 1$ limit. This implies that the quantum null energy condition (QNEC) is… Expand
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