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

TL;DR

This paper calculates string corrections to four-point functions in AdS/CFT, revealing a logarithmic singularity and proposing potential cancellations via new terms in the effective action.

Contribution

It introduces the first computation of an eight-derivative correction to four-point functions in AdS/CFT at order lpha'^3, extending previous work with new string corrections.

Findings

Found a logarithmic singularity in four-point functions when operators approach each other.

Proposed that new terms in the type IIB effective action might cancel these singularities.

Extended the understanding of string corrections in AdS/CFT correspondence.

Abstract

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.