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We study an extension of the ADHM construction to give deformedanti-self-dual (ASD) instantons in N=1/2 super Yang-Mills theory with U(n)gauge group. First we extend the exterior algebra on superspace tonon(anti)commutative superspace and show that the N=1/2 super Yang-Mills theorycan be reformulated in a geometrical way. By using this exterior algebra, weformulate a non(anti)commutative version of the super ADHM construction andshow that the curvature two-form superfields obtained by our construction dosatisfy the deformed ASD equations and thus we establish the deformed superADHM construction. We also show that the known deformed U(2) one instantonsolution is obtained by this construction.Comment: 32 pages, LaTeX, v2: typos corrected, references adde

Instantons in Script N = 1/2 super Yang-Mills theory via deformed super ADHM construction