On non-commutative N=2 super Yang-Mills

Details On non-commutative N=2 super Yang-Mills On non-commutative N=2 super Yang-Mills

2001-02-02

arxiv.org/abs/hep-th/0102007v2

Phys.Lett. B513 (2001) 406-412

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, Latex. v2: Minor changes, ref. added. To appear in Phys.Lett.B

Scientific paper

10.1016/S0370-2693(01)00763-8

We discuss the Seiberg-Witten solution of the non-commutative N=2 U(N) SYM model. The solution is described in terms of the ordinary Seiberg-Witten curve of the SU(N) theory plus an additional free U(1). Hence, at the two-derivative approximation the theory flows to the ordinary commutative theory in the infra-red (k<1/sqrt(theta)). In particular, the center U(1) is free and it decouples from the other U(1)'s. In addition, no UV/IR mixing is found.

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