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

2000; Cornell University; Linguagem: Inglês

10.48550/arxiv.hep-th/0002154

L. Hoffmann, Anastasios C. Petkou, W. Ruehl,

Noncommutative and Quantum Gravity Theories

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.