Some Systematics of the Coupling Constant Dependence of N=4 Yang-Mills

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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56 pages, LaTeX; amended and expanded arguments, added references

Scientific paper

10.1088/1126-6708/2004/09/045

The operator, O_\tau, that generates infinitesimal changes of the coupling constant in N=4 Yang-Mills sits in the same supermultiplet as the superconformal currents. We show how superconformal current Ward identities determine a class of terms in the operator product expansion of O_\tau with any other operator. In certain cases, this leads to constraints on the coupling dependence of correlation functions in N=4 Yang-Mills. As an application, we demonstrate the exact non-renormalization of two and certain three-point correlation functions of BPS operators.

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