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

Yasuhiro Abe·V. P. Nair·Mu-In Park
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Abstract

Classical ${\cal N}=4$ 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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Yasuhiro Abe, V. P. Nair, Mu-In Park. 2005-01-31. Multigluon amplitudes, ${\cal N}=4$ constraints and the WZW model. https://doi.org/10.1103/physrevd.71.025002

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