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

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

1998-09-09

arxiv.org/abs/hep-th/9809067v2

Phys.Lett. B445 (1999) 296-306

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1016/S0370-2693(98)01462-2

In a string calculation to order $\alpha'^3$, we compute an eight-derivative four-dilaton term in the type IIB effective action. Following the AdS prescription, we compute the order $(g_{YM}^2N_c)^{-3/2}$ 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.

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