On the Seiberg–Witten map of N=2 SYM theory in non(anti)commutative harmonic superspace

Abstract We consider N = 2 supersymmetric U ( 1 ) gauge theory in the N = 2 non(anti)commutative harmonic superspace with the singlet deformation. We generalize analytic superfield and gauge parameter to the non(anti)commutative theory so that gauge transformations act on the component fields in a canonical form (Seiberg–Witten map). This superfield, upon a field redefinition transforms under supersymmetry in a standard way.