A note on the analyticity of AdS scalar exchange graphs in the crossed channel
classification
✦ hep-th
keywords
channelcrossedexchangegraphsnon-analyticpropertiesscalarterms
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We discuss the analytic properties of AdS scalar exchange graphs in the crossed channel. We show that the possible non-analytic terms drop out by virtue of non-trivial properties of generalized hypergeometric functions. The absence of non-analytic terms is a necessary condition for the existence of an operator product expansion for CFT amplitudes obtained from AdS/CFT correspondence.
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