
We study four dimensional supersymmetric gauge theory on the noncommutative superspace, recently proposed by Seiberg. We construct the gauge-invariant action of N=1 super Yang-Mills theory with chiral and antichiral superfields, which has N=1/2 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=1/2 supersymmetry.
13 pages, LaTeX; v3: eq.(22) and related errors corrected
High Energy Physics - Theory, chiral superfields, High Energy Physics - Theory (hep-th), gauge-invariant action, Noncommutative geometry methods in quantum field theory, Supersymmetric field theories in quantum mechanics, FOS: Physical sciences, Yang-Mills and other gauge theories in quantum field theory, Yang-Mills theory
High Energy Physics - Theory, chiral superfields, High Energy Physics - Theory (hep-th), gauge-invariant action, Noncommutative geometry methods in quantum field theory, Supersymmetric field theories in quantum mechanics, FOS: Physical sciences, Yang-Mills and other gauge theories in quantum field theory, Yang-Mills theory
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