@article{ketov_sasaki_2004, 
  title={SU(2)xU(1) non-anticommutative N=2 supersymmetric gauge theory}, 
  abstractNote={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.}, 
  author={Ketov and Sasaki}, 
  year={2004}, 
  month={Jul}
  }