# Bounds on OPE coefficients from interference effects in the conformal collider

Journal of High Energy Physics, Nov 2017

We apply the average null energy condition to obtain upper bounds on the three-point function coefficients of stress tensors and a scalar operator, $\left\langle TT\mathcal{O}\right\rangle$, in general CFTs. We also constrain the gravitational anomaly of U(1) currents in four-dimensional CFTs, which are encoded in three-point functions of the form 〈T T J 〉. In theories with a large N AdS dual we translate these bounds into constraints on the coefficient of a higher derivative bulk term of the form ∫ϕ W 2. We speculate that these bounds also apply in de-Sitter. In this case our results constrain inflationary observables, such as the amplitude for chiral gravity waves that originate from higher derivative terms in the Lagrangian of the form ϕ W W ∗.

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Clay Córdova, Juan Maldacena, Gustavo J. Turiaci. Bounds on OPE coefficients from interference effects in the conformal collider, Journal of High Energy Physics, 2017, 32, DOI: 10.1007/JHEP11(2017)032