Aspects of the conformal Operator Product Expansion in AdS/CFT Correspondence

نویسندگان

  • Laurent Hoffmann
  • Anastasios C. Petkou
چکیده

We present a detailed analysis of a scalar conformal four-point function obtained from AdS/CFT correspondence. We study the scalar exchange graphs on AdSd+1 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 function are connected to the anomalous dimensions of the exchanged fields. Comparison of the results from AdSd+1 graphs with the conformal partial wave analysis suggests a possible general form for the operator product expansion of scalar fields in the boundary CFTd. email:[email protected] email:[email protected] email:[email protected] 1

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تاریخ انتشار 2000