\(N=6\) supergravity on \(\text{AdS}_5\) and the \(SU(2,2/3)\) superconformal correspondence (Q1300954)

In this letter the authors discuss the existence of a correspondence between \(N=6\) supergravity on \(\text{AdS}_5\) and \(N=4\) Yang-Mills theory. Using some properties of the OPE of \(N=4\) Yang-Mills theory they indicate how to find a projection to a sub-sector of the chiral primary operators. Because the duality transformations are involved in the projection it is valid in the self-dual point only, i.e. for amplitudes independent of the coupling constant.