On non-commutative N=2 super Yang-Mills

We discuss the Seiberg-Witten solution of the non-commutative N = 2 U(N) SY M model. The solution is described in terms of the ordinary Seiberg-Witten curve of the SU(N) theory plus an additional free U( I). Hence, at the two- derivative approximation the theory flows to the ordinary commutative theor y in the infrared (k < 1/root theta). In particular, the center U(I) is fre e and it decouples from the other U(1)'s. In addition, no UV/IR mixing is f ound. (C) 2001 Elsevier Science B.V. All rights reserved.