Three point functions of chiral primary operators in d=3, N=8 and d=6, N=(2,0) SCFT at large N

We use the AdS/CFT correspondence to calculate three point functions of chi ral primary operators at large N in d = 3, N = 8 and d = 6, N =(2,0) superc onformal field theories. These theories are related to the infrared fixed p oints of world-volume descriptions of N coincident M2 and M5 branes, respec tively. The computation can be generalized by employing a gravitational act ion in arbitrary dimensions D, coupled to a (p + 1)-form and appropriately compactified on AdS((D-p-2)) X S(p+2). We note a surprising coincidence: th is generalized model reproduces for D = 10, p = 3 the three point functions of d = 4, N = 4 SYM chiral primary operators at large N. (C) 1999 Publishe d by Elsevier Science B.V. All rights reserved.