Three-point functions for a class of chiral operators in maximally supersymmetric CFT at large N Original Research Article

We present a calculation of three-point functions for a class of chiral operators, including the primary ones, in d=3, N=8; d=6, N=(2,0) and d=4, N=4 superconformal field theories at large N. These theories are related to the infrared world-volume descriptions of N coincident M2-, M5- and D3-branes, respectively. The calculation is done in the framework of the AdS/CFT correspondence and can be given a unified treatment employing a gravitational action in arbitrary dimensions D, coupled to a p+1-form and suitably compactified on AdSD−2−p×S2+p. The interesting cases are obtained setting (D,p) to the values (11,5), (11,2) and (10,3).