Near-extremal correlators and vanishing supergravity couplings in AdS/CFT Original Research Article

We study near-extremal n-point correlation functions of chiral primary operators, in which the maximal scale dimension k is related to the others by k=∑iki−m with m≤n−3. Through order g2 in field theory, we show that these correlators are simple sums of terms each of which factors into products of lower-point correlators. Terms which contain only factors of two- and three-point functions are not renormalized, but other terms have non-vanishing order g2 corrections.