SU(2)xU(1) non-anticommutative N=2 supersymmetric gauge theory

Details SU(2)xU(1) non-anticommutative N=2 supersymmetric gauge theory SU(2)xU(1) non-anticommutative N=2 supersymmetric gauge theory

2004-07-25

arxiv.org/abs/hep-th/0407211v2

Int.J.Mod.Phys. A20 (2005) 4021-4034

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, 1 figure, LaTeX; a few references added

Scientific paper

10.1142/S0217751X05020963

We derive the master function governing the component action of the four-dimensional non-anticommutative (NAC) and fully N=2 supersymmetric gauge field theory with a non-simple gauge group U(2)=SU(2)xU(1). We use a Lorentz singlet NAC-deformation parameter and an N=2 supersymmetric star (Moyal) product which do not break any of the fundamental symmetries of the undeformed N=2 gauge theory. The scalar potential in the NAC-deformed theory is calculated. We also propose the non-abelian BPS-type equations in the case of the NAC-deformed N=2 gauge theory with the SU(2) gauge group, and comment on the SU(3) case too. The NAC-deformed field theories can be thought of as the effective (non-perturbative) N=2 gauge field theories in a certain (scalar only) N=2 supergravity background.

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