Short harmonic superfields and light-cone gauge in super-Yang-Mills equations

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We analyze the superfield equations of the 4-dimensional N=2 and N=4 SYM-theories using light-cone gauge conditions and the harmonic-superspace approach. The harmonic superfield equations of motion are drastically simplified in this gauge, in particular, the basic harmonic-superfield matrices and the corresponding harmonic analytic gauge connections become nilpotent on-shell.
To be published in Proceedings of the conference "Quantization, gauge theories and strings" dedicated to the memory of E.S. Fradkin, Moscow, June 5-10, 2000

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