N=1/2 supersymmetric gauge theory in noncommutative space

A formulation of (non-anticommutative) N = 1/2 supersymmetric U( N) gauge theory in noncommutative space is studied. We show that at one loop UV/IR mixing occurs. A generalization of Seiberg-Witten map to noncommutative and non-anticommutative superspace is employed to obtain an action in terms of commuting fields at first order in the noncommutativity parameter theta. This leads to Abelian and non-Abelian gauge theories whose supersymmetry transformations are local and non-local, respectively. Copyright (C) EPLA, 2007.