Superprotected n-point correlation functions of local operators in N=4 super Yang-Mills

Details Superprotected n-point correlation functions of local operators in N=4 super Yang-Mills Superprotected n-point correlation functions of local operators in N=4 super Yang-Mills

2009-01-23

arxiv.org/abs/0901.3653v2

JHEP 0904:052,2009

Physics

High Energy Physics

High Energy Physics - Theory

38 pages, half of them appendices; v2 typos corrected

Scientific paper

10.1088/1126-6708/2009/04/052

In this paper we study the n-point correlation functions of two different families of local gauge invariant operators in N=4 supersymmetric Yang-Mills theory. The main idea is to consider the correlation functions of operators which all share a number of supersymmetries irrespective of their relative locations. We achieve this by equipping the operators with explicit space-time dependence. We provide evidence by different methods that these n-point correlators do not receive quantum corrections in perturbation theory and are hence given exactly by their tree-level result. The arguments rely on explicit checks for general four-point correlators, some five-point and six-point correlators and a more abstract calculation based on a novel topological twisting of N=4 supersymmetric Yang-Mills theory.

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