On non-commutative N=2 super Yang-Mills

Abstract

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.

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

References in corpus (3)

• Noncommutative $\mathcal{N}=1,2$ super U(N) Yang-Mills: UV/IR mixing and effective action results at one loop
• Exact Results in Noncommutative $\mathcal{N}=2$ Supersymmetric Gauge Theories
• The Higgs Mechanism in Non-commutative Gauge Theories

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