N=2 Supersymmetric U(1) Gauge Theory in Noncommutative Harmonic   Superspace
  We study N=2 supersymmetric U(1) gauge theory in the noncommutative harmonic superspace with nonanticommutative fermionic coordinates. We examine the gauge transformation which preserves the Wess-Zumino gauge by harmonic expansions of component fields. The gauge transformation is shown to depend on the deformation parameters and the anti-holomorphic scalar field. We compute the action explicitly up to the third order in component fields and discuss the field redefinitions so that the component fields transform canonically. 
Takeo Araki, Katsushi Ito and Akihisa Ohtsuka