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

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 three gauge fields we compare in detail with the 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-renormalization theorems. In studying the Ward identity relating 〈J i a O I O J 〉 to 〈 O I O J 〉 for (non-marginal) scalar composite operators O I , we find that there is a subtlety in obtaining the normalization of 〈 O I O J 〉 from the supergravity action integral.

• Publication year

  1998

• Venue

  Nuclear Physics

• Publication date

  1998-04-07

• Fields of study

  Physics

• Identifiers
  DOI 10.1016/S0550-3213(99)00053-XarXiv hep-th/9804058
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  Open on Semantic Scholar

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