A curious truncation of N=4 supersymmetric Yang-Mills theory -: art. no. 261601

The coupling constant dependence of correlation functions of Bogomol'nyi-Prasad-Sommerfield operators in the N=4 supersymmetric Yang-Mills theory can be expressed in terms of integrated correlation functions. We approximate these integrated correlators by using a truncated operator product expansion. This leads to differential equations for the coupling dependence. When applied to a particular 16 point correlator, the coupling dependence we find agrees with the corresponding amplitude computed via the gauge theory/string theory correspondence. We conjecture that this truncation becomes exact in the large N and large 't Hooft coupling limit.