N=4 Super-Yang-Mills Equations In Harmonic Superspace
B.M. Zupnik
TL;DR
This paper simplifies the superfield equations of 4D N=4 Super-Yang-Mills theory using harmonic superspace and light-cone gauge, revealing nilpotent structures in the superfield matrices and gauge connections.
Contribution
It introduces a harmonic superspace approach combined with light-cone gauge to simplify the superfield equations of N=4 SYM, highlighting nilpotent properties on-shell.
Findings
Harmonic superfield equations are simplified in light-cone gauge.
Superfield matrices and gauge connections become nilpotent on-shell.
The approach provides a clearer structure of the equations of motion.
Abstract
We analyze the superfield equations of the 4-dimensional N=4 SYM-theory 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.
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