N=2 Supersymmetric U(1) Gauge Theory in Noncommutative Harmonic Superspace

Abstract

We study N=2 supersymmetric U(1) gauge theory in the noncommutative harmonic superspace with nonanticommutative fermionic coordinates. We examine the gauge transformation which preserves the Wess-Zumino gauge by harmonic expansions of component fields. The gauge transformation is shown to depend on the deformation parameters and the anti-holomorphic scalar field. We compute the action explicitly up to the third order in component fields and discuss the field redefinitions so that the component fields transform canonically.

42 pages, LaTeX, v2: references added, v3: minor corrections

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• Non(anti)commutative N=2 Supersymmetric Gauge Theory from Superstrings in the Graviphoton Background
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• Renormalizability of non-anticommutative N=(1,1) theories with singlet deformation
• Non-singlet Q-deformed N=(1,0) and N=(1,1/2) U(1) actions
• Recovery of Full N=1 Supersymmetry in Non(anti-)commutative Superspace
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