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

We present a calculation of three-point functions for a class of chiral ope rators, 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 re lated to the infrared world-volume descriptions of N coincident M2-, M5- an d D3-branes, respectively. The calculation is done in the framework of the AdS/CFT correspondence and can be given a unified treatment employing a gra vitational action in arbitrary dimensions D, coupled to a p + 1-form and su itably compactified on AdS(D-2-p) x S2+p. The interesting cases are obtaine d setting (D,p) to the values (11,5), (11,2) and (10,3). (C) 2000 Elsevier Science B.V. All rights reserved.