Correlation functions in the CFTd/AdS(d+1) correspondence

Conformal techniques are applied to the calculation of integrals on AdS(d+1 ) space which define correlators of composite operators in the superconform al field theory on the d-dimensional boundary. The 3-point amplitudes for s calar fields of arbitrary mass and gauge fields in the AdS supergravity are calculated explicitly. For three gauge fields we compare in detail with th e known conformal structure of the SU(4) flavor current correlator [J(i)(a) J(j)(b) J(k)(c)] of the N = 4, d = 4 SU(N) SYM theory. Results agree with the free field approximation as would be expected from superconformal non-r enormalization theorems. In studying the Ward identity relating [J(i)(a)O(I )O(J]) to [(OOj)-O-I] for (non-marginal) scalar composite operators O-I, we find that there is a subtlety in obtaining the normalization of [(OOJ)-O-I ] from the supergravity action integral. (C) 1999 Published by Elsevier Sci ence B.V.