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

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

2000-02-18

arxiv.org/abs/hep-th/0002154v3

Adv.Theor.Math.Phys. 4 (2002) 571-615

Physics

High Energy Physics

High Energy Physics - Theory

31 pages, LaTeX, accepted for publication in ATMP

Scientific paper

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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