AdS4/CFT3 for unprotected operators

Abstract

We consider the four-point function of the lowest scalar in the stress-energy tensor multiplet in N= 8 ABJ(M) theory [1, 2]. At large central charge cT ∼ N3/2, this correlator is given by the corresponding holographic correlation function in 11d supergravity on AdS4 × S7. We use Mellin space techniques to compute the leading 1/cT correction to anomalous dimensions and OPE coefficients of operators that appear in this holographic correlator. For half and quarter-BPS operators, we find exact agreement with previously computed localization results. For the other BPS and non-BPS operators, our results match the N= 8 numerical bootstrap for ABJ(M) at large cT, which provides a precise check of unprotected observables in AdS/CFT.