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

TL;DR

This paper investigates N=2 supersymmetric U(1) gauge theory within noncommutative harmonic superspace, analyzing gauge transformations, deformation effects, and explicit component field actions up to third order.

Contribution

It introduces a detailed analysis of gauge transformations and explicit component actions in noncommutative harmonic superspace, including field redefinitions for canonical transformations.

Findings

Gauge transformation depends on deformation parameters and anti-holomorphic scalar.

Explicit action computed up to third order in component fields.

Field redefinitions achieve canonical transformation properties.

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.