Non-singlet Q-deformed N=(1,0) and N=(1,1/2) U(1) actions

TL;DR

This paper constructs and analyzes non-singlet Q-deformed supersymmetric U(1) actions with N=(1,0) and N=(1,1/2) in harmonic superspace, revealing how deformation parameters influence supersymmetry and interactions.

Contribution

It provides explicit component actions for non-singlet Q-deformed N=(1,0) and N=(1,1/2) supersymmetric U(1) theories and explores the effects of deformation parameters on supersymmetry breaking.

Findings

Exact expression for enhanced supersymmetry action.

Deformation parameters induce non-trivial scalar-gauge interactions.

Supersymmetry is broken from N=(1,1/2) to N=(1,0) upon restoring certain parameters.

Abstract

In this paper we construct N=(1,0) and N=(1,1/2) non-singlet Q-deformed supersymmetric U(1) actions in components. We obtain an exact expression for the enhanced supersymmetry action by turning off particular degrees of freedom of the deformation tensor. We analyze the behavior of the action upon restoring weekly some of the deformation parameters, obtaining a non trivial interaction term between a scalar and the gauge field, breaking the supersymmetry down to N=(1,0). Additionally, we present the corresponding set of unbroken supersymmetry transformations. We work in harmonic superspace in four Euclidean dimensions.