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

Abstract

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.

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

References in corpus (2)

• BPS-type equations in the non-anticommutative N=2 supersymmetric U(1) gauge theory
• Non-anticommutative N=2 supersymmetric SU(2) gauge theory

Cited by in corpus (5)

• Non-singlet Q-deformation of the N=(1,1) gauge multiplet in harmonic superspace
• Non(anti)commutative N=2 Supersymmetric U(N) Gauge Theory and Deformed Instanton Equations
• Non-singlet Q-deformed N=(1,0) and N=(1,1/2) U(1) actions
• Gauge theory in deformed N=(1,1) superspace
• Central Charges in Non(anti)commutative N=2 Supersymmetric U(N) Gauge Theory