Three Point Functions of Chiral Primary Operators in d=3, N= 8 and d=6, N=(2,0) SCFT at Large N

Abstract

We use the AdS/CFT correspondence to calculate three point functions of chiral primary operators at large N in d=3, N=8 and d=6, N=(2,0) superconformal field theories. These theories are related to the infrared fixed points of world-volume descriptions of N coincident M2 and M5 branes, respectively. The computation can be generalized by employing a gravitational action in arbitrary dimensions D, coupled to a (p+1)-form and appropriately compactified on AdS(D-p-2)xS(p+2). We note a surprising coincidence: this generalized model reproduces for D=10, p=3 the three point functions of d=4, N=4 SYM chiral primary operators at large N.