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 c_T ∼ N^3/2, 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/c_T 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 c_T, which provides a precise check of unprotected observables in AdS/CFT.