Non(anti)commutative N=(1,1/2) Supersymmetric U(1) Gauge Theory

TL;DR

This paper explores the structure and symmetries of a deformed N=2 supersymmetric U(1) gauge theory in non(anti)commutative harmonic superspace, deriving exact transformations and relating it to N=1 superspace formulations.

Contribution

It provides the exact gauge and supersymmetry transformations in non(anti)commutative N=2 harmonic superspace and connects the deformed N=2 theory to N=1 superspace through field redefinitions.

Findings

Exact gauge and supersymmetry transformations derived.

Reduction of the action to N=1 superspace with field redefinitions.

Construction of deformed N=(1,1/2) supersymmetry in N=2 gauge theory.

Abstract

We study a reduction of deformation parameters in non(anti)commutative N=2 harmonic superspace to those in non(anti)commutative N=1 superspace. By this reduction we obtain the exact gauge and supersymmetry transformations in the Wess-Zumino gauge of non(anti)commutative N=2 supersymmetric U(1) gauge theory defined in the deformed harmonic superspace. We also find that the action with the first order correction in the deformation parameter reduces to the one in the N=1 superspace by some field redefinition. We construct deformed N=(1,1/2) supersymmetry in N=2 supersymmetric U(1) gauge theory in non(anti)commutative N=1 superspace.