Aspects of the conformal operator product expansion in AdS/CFT correspondence

L. Hoffmann; A. C. Petkou; W. Ruehl

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arXiv · hep-th/0002154

Aspects of the conformal operator product expansion in AdS/CFT correspondence

L. Hoffmann·A. C. Petkou·W. Ruehl

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Abstract

We present a detailed analysis of a scalar conformal four-point function obtained from AdS/CFT correspondence. We study the scalar exchange graphs in AdS and discuss their analytic properties. Using methods of conformal partial wave analysis, we present a general procedure to study conformal four-point functions in terms of exchanges of scalar and tensor fields. The logarithmic terms in the four-point functions are connected to the anomalous dimensions of the exchanged fields. Comparison of the results from AdS graphs with the conformal partial wave analysis, suggests a possible general form for the operator product expansion of scalar fields in the boundary CFT.

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L. Hoffmann, A. C. Petkou, W. Ruehl. 2000-09-06. Aspects of the conformal operator product expansion in AdS/CFT correspondence. https://arxiv.org/abs/hep-th/0002154

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