String corrections to four point functions in the AdS/CFT correspondence

Abstract

In a string calculation to order ${\alpha }^{\prime 3}$, we compute an eight-derivative four-dilaton term in the type IIB effective action. Following the AdS prescription, we compute the order $(g_{YM}^2{N}_c{)}^{-3/2}$ correction to the four-point correlation function involving the operator $tr{F}^2$ in four dimensional N=4 super Yang-Mills using the string corrected type IIB action extending the work of Freedman et al. (hep-th/9808006). In the limit where two of the Yang-Mills operators approach each other, we find that our correction to the four-point correlation functions develops a logarithmic singularity. We discuss the possible cancellation of this logarithmic singularities by conjecturing new terms in the type IIB effective action.

16 pages, uses harvmac, no figures. Minor corrections to some equations and typos fixed

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