Abstract
We study four-dimensional supersymmetric gauge theory on the noncommutative superspace. We construct the gauge-invariant action of N=1 super-Yang–Mills theory with chiral and antichiral superfields, which has N=12 supersymmetry on the noncommutative superspace. We also construct the action of N=2 super-Yang–Mills theory. It is shown that this theory has only N=12 supersymmetry.
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