Correlation functions in the CFT(d)/AdS(d+1) correpondence

Details Correlation functions in the CFT(d)/AdS(d+1) correpondence Correlation functions in the CFT(d)/AdS(d+1) correpondence

1998-04-07

arxiv.org/abs/hep-th/9804058v2

Nucl.Phys.B546:96-118,1999

Physics

High Energy Physics

High Energy Physics - Theory

27 pages, LaTex, 1 eps figure, few misprints corrected, references added

Scientific paper

10.1016/S0550-3213(99)00053-X

Conformal techniques are applied to the calculation of integrals on AdS(d+1) space which define correlators of composite operators in the superconformal field theory on the d-dimensional boundary. The 3-point amplitudes for scalar fields of arbitrary mass and gauge fields in the AdS supergravity are calculated explicitly. For 3 gauge fields we compare in detail with the known conformal structure of the SU(4) flavor current correlator of the N=4, d=4 SU(N) SYM theory. Results agree with the free field approximation as would be expected from superconformal non-renormalization theorems. In studying the Ward identity relating to for (non-marginal) scalar composite operators O^I, we find that there is a subtlety in obtaining the normalization of from the supergravity action integral.

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