  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 tetha. This
leads to abelian and non-abelian gauge theories whose supersymmetry
transformations are local and non-local, respectively.
