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2019

Einstein gravity from ANEC correlators

Belin, Alexandre, Hofman, Diego M., Mathys, Gregoire

Understand

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.