Recovery of Full N=1 Supersymmetry in Non(anti-)commutative Superspace

Abstract

We investigate SUSY of Wess-Zumino models in non(anti-)commutative Euclidean superspaces. Non(anti-)commutative deformations break 1/2 SUSY, then non(anti-)commutative Wess-Zumino models do not have full SUSY in general. However, we can recover full SUSY at specific coupling constants satisfying some relations. We give a general way to construct full SUSY non(anti-)commutative Wess-Zumino models. For a some example, we investigate quantum corrections and $\beta$-functions behavior.

16pages, 20 figures, v2: references added, comments added

References in corpus (4)

• Non-anticommutative N=2 supersymmetric SU(2) gauge theory
• Seiberg-Witten Map for Superfields on N=(1/2,0) and N=(1/2,1/2) Deformed Superspace
• Generalized Noncommutative Supersymmetry from a New Gauge Symmetry
• On the Seiberg-Witten map of $\mathcal{N}=2$ SYM theory in Non(anti)commutative Harmonic Superspace

Cited by in corpus (6)

• Gauged Wess-Zumino Model in Noncommutative Minkowski Superspace
• Non(anti)commutative N=(1,1/2) Supersymmetric U(1) Gauge Theory
• N=2 sigma model Action on Non(anti)commutative Superspace
• Instantons in N=1/2 Super Yang-Mills Theory via Deformed Super ADHM Construction
• Central Charges in Non(anti)commutative N=2 Supersymmetric U(N) Gauge Theory
• Multifractal analysis of the symmetry of a strictly isospectral energy landscape on a square lattice