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Solving N=3 super-Yang-Mills equations in harmonic superspace

B. M. Zupnik
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Abstract

We analyze the superfield constraints of the D=4, N=3 SYM-theory using light-cone gauge conditions. The SU(3)/U(1)xU(1) harmonic variables are interpreted as auxiliary spectral parameters, and the transform to the harmonic-superspace representation is considered. Our nilpotent gauge for the basic harmonic superfield simplifies the SYM-equations of motion. A partial Grassmann decomposition of these equations yields the solvable linear system of iterative equations.

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B. M. Zupnik. 2000-10-17. Solving N=3 super-Yang-Mills equations in harmonic superspace. https://arxiv.org/abs/hep-th/0010139

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