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

Jan, 2009
38 pages
Published in:
  • JHEP 04 (2009) 052
e-Print:
Report number:
  • HU-EP-09-01

Citations per year

200920132017202120250246810
Abstract: (arXiv)
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.
  • operator: local
  • correction: quantum
  • invariance: gauge
  • correlation function
  • supersymmetry: 4
  • gauge field theory: Yang-Mills
  • space-time dependence
  • n-point function
  • symmetry breaking
  • charge: topological