A note on the analyticity of AdS scalar exchange graphs in the crossed channel

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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9 pages, LaTeX

Scientific paper

10.1016/S0370-2693(00)00283-5

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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