Multi-trace quasi-primary fields of [formula omitted] from AdS n-point functions

Abstract

We develop a recursive algorithm for the investigation of infinite sequences of quasi-primary fields obtained from chiral primary operators (CPOs) OIk(x) and eventually their derivatives by applying operator product expansions and singling out particular SO(6) representations. We show that normal products of O2 operators can, to leading order, be expressed in terms of projection operators on representations of SO(20) and discuss intertwining operators for SO(6) representations. Furthermore we derive O(1/N2) corrections to AdS/CFT 4-point functions by graphical combinatorics and finally extract anomalous dimensions by applying the method of conformal partial wave analysis. We find infinite sequences of quasi-primary fields with vanishing anomalous dimensions and interpret them as 12-BPS or 14-BPS fields.