A note on the analyticity of AdS scalar exchange graphs in the crossed channel
arXiv:hep-th/0002025 · doi:10.1016/S0370-2693(00)00283-5
Abstract
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.
9 pages, LaTeX