On the Seiberg-Witten map of $\mathcal{N}=2$ SYM theory in Non(anti)commutative Harmonic Superspace

Abstract

We consider $\mathcal{N}=2$ supersymmetric U(1) gauge theory in a nonanticommutative $\mathcal{N}=2$ harmonic superspace with the singlet deformation. We generalize analytic superfield and gauge parameter to the nonanticommutative theory so that gauge transformations act on the component fields in a canonical form (Seiberg-Witten map). This superfield, upon a field redefinition transforms under supersymmetry in a standard way.

arXiv comment10 pages, LaTeX

References in corpus (11)

• String Theory and Noncommutative Geometry
• Non-commutative superspace from string theory
• Noncommutative Superspace, N=1/2 Supersymmetry, Field Theory and String Theory
• Non(anti)commutative Superspace
• Some Aspects of Deformations of Supersymmetric Field Theories
• Nilpotent deformations of N=2 superspace
• Non-anticommutative N=2 super-Yang-Mills theory with singlet deformation
• Non-anticommutative chiral singlet deformation of N=(1,1) gauge theory
• N=2 Supersymmetric U(1) Gauge Theory in Noncommutative Harmonic Superspace
• Singlet Deformation and Non(anti)commutative N=2 Supersymmetric U(1) Gauge Theory
• Seiberg-Witten Map for Superfields on N=(1/2,0) and N=(1/2,1/2) Deformed Superspace

Cited by in corpus (5)

• Chern-Simons-Matter Theory
• Aspects of ABJ Theory
• Non-anticommutative ABJ Theory
• Recovery of Full N=1 Supersymmetry in Non(anti-)commutative Superspace
• N=1/2 Supersymmetric gauge theory in noncommutative space