Duals of noncommutative supersymmetric U(1) gauge theory

Abstract

Parent actions for component fields are utilized to derive the dual of supersymmetric U(1) gauge theory in 4 dimensions. Generalization of the Seiberg-Witten map to the component fields of noncommutative supersymmetric U(1) gauge theory is analyzed. Through this transformation we proposed parent actions for noncommutative supersymmetric U(1) gauge theory as generalization of the ordinary case.Duals of noncommutative supersymmetric U(1) gauge theory are obtained. Duality symmetry under the interchange of fields with duals accompanied by the replacement of the noncommutativity parameter Θ_{μν} with \tildeΘ_{μν} = ε_{μνρσ}Θ^{ρσ} of the non--supersymmetric case is broken at the level of actions. We proposed a noncommutative parent action for the component fields which generates actions possessing this duality symmetry.

arXiv commentTypos corrected. Version which will appear in JHEP

References in corpus (7)

• Monopole Condensation, And Confinement In N=2 Supersymmetric Yang-Mills Theory
• String Theory and Noncommutative Geometry
• Some Aspects of Deformations of Supersymmetric Field Theories
• A Note on Superfields and Noncommutative Geometry
• Duality and Non-Commutative Gauge Theory
• Non-commutativity and Supersymmetry
• Seiberg-Witten map for noncommutative super Yang-Mills theory

Cited by in corpus (7)

• Constraint and Super Yang-Mills Equations on the Deformed Superspace R^(4|16)_\hbar
• Seiberg-Witten Map for Superfields on Canonically Deformed N=1, d=4 Superspace
• Seiberg-Witten Map for Superfields on N=(1/2,0) and N=(1/2,1/2) Deformed Superspace
• Dimensional Reduction, Seiberg--Witten Map and Supersymmetry
• Noncommutative N=1 super Yang-Mills, the Seiberg-Witten map and UV divergences
• N=1/2 Supersymmetric gauge theory in noncommutative space
• Duality invariance of non-anticommutative N=1/2 supersymmetric U(1) gauge theory