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

Abstract

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.

38 pages, half of them appendices; v2 typos corrected

References in corpus (7)

• Supersymmetric Wilson loops on S^3
• Anomalous dimension with wrapping at four loops in N=4 SYM
• More supersymmetric Wilson loops
• Wilson loops: From four-dimensional SYM to two-dimensional YM
• Wilson loop correlators at strong coupling: from matrices to bubbling geometries
• Exact 1/4 BPS Loop - Chiral Primary Correlator
• Holography of BPS surface operators

Cited by in corpus (1)

• Correlators of supersymmetric Wilson-loops, protected operators and matrix models in N=4 SYM