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

Daniel Z. Freedman·Samir D. Mathur·Alec Matusis·Leonardo Rastelli
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Abstract

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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Daniel Z. Freedman, Samir D. Mathur, Alec Matusis, Leonardo Rastelli. 1998-09-25. Correlation functions in the CFT(d)/AdS(d+1) correpondence. https://doi.org/10.1016/s0550-3213(99)00053-x

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