ON THE STRUCTURE OF NONCOMMUTATIVE N=2 SUPERYANG-MILLS THEORY

We show that the recently proposed formulation of non-commutative N = 2 Super Yang-Mills theory implies that the commutative and non-commutative effective coupling constants \u3c4(u) and \u3c4nc(u) coincide. We then introduce a key relation which allows to find a non-trivial solution of such equation, thus fixing the form of the low-energy effective action. The dependence on the non-commutative parameter arises from a rational function deforming the Seiberg-Witten differential