Multigluon amplitudes, ${\cal N}=4$ constraints and the WZW model

Yasuhiro Abe; V. P. Nair; Mu-In Park

doi:10.1103/PhysRevD.71.025002

paper

Multigluon amplitudes, $N = 4$ constraints and the WZW model

arXiv:hep-th/0408191 · doi:10.1103/PhysRevD.71.025002

Abstract

Classical $N = 4$ Yang-Mills theory is defined by the superspace constraints. We obtain a solution of a subset of these constraints and show that it leads to the maximally helicity violating (MHV) amplitudes. The action which leads to the solvable part of the constraints is a Wess-Zumino-Witten (WZW) action on a suitably extended superspace. The non-MHV tree amplitudes can also be expressed in terms of this action.

LaTeX, 18 pages, references added

Multigluon amplitudes, N=4 constraints and the WZW model

Abstract

Multigluon amplitudes, $N = 4$ constraints and the WZW model