Multigluon amplitudes, N=4 constraints and the WZW model
Yasuhiro Abe, V. P. Nair, Mu-In Park
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.
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