Einstein gravity from ANEC correlators

DOI10.1007/JHEP08(2019)032zbMATH Open1421.83010arXiv1904.05892WikidataQ127401918 ScholiaQ127401918MaRDI QIDQ2273394

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Publication date: 23 September 2019

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Abstract: We study correlation functions with multiple averaged null energy (ANEC) operators in conformal field theories. For large $N$ CFTs with a large gap to higher spin operators, we show that the OPE between a local operator and the ANEC can be recast as a particularly simple differential operator acting on the local operator. This operator is simple enough that we can resum it and obtain the finite distance OPE. Under the large $N$ - large gap assumptions, the vanishing of the commutator of ANEC operators tightly constrains the OPE coefficients of the theory. An important example of this phenomenon is the conclusion that $a=c$ in $d=4$. This implies that the bulk dual of such a CFT is semi-classical Einstein-gravity with minimally coupled matter.

Full work available at URL: https://arxiv.org/abs/1904.05892

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