Singlet Deformation and Non(anti)commutative N=2 Supersymmetric U(1) Gauge Theory

TL;DR

This paper explores the effects of singlet deformation on N=2 supersymmetric U(1) gauge theory within non(anti)commutative harmonic superspace, focusing on preserving chirality and gauge invariance.

Contribution

It constructs a deformed Lagrangian and identifies a field redefinition that maintains canonical transformation properties under deformed symmetries.

Findings

Deformation preserves chirality and gauge invariance.

A consistent Lagrangian invariant under deformed symmetries is constructed.

Field redefinition ensures canonical transformation of the vector multiplet.

Abstract

We study N=2 supersymmetric U(1) gauge theory in non(anti)commutative N=2 harmonic superspace with the singlet deformation, which preserves chirality. We construct a Lagrangian which is invariant under both the deformed gauge and supersymmetry transformations. We find the field redefinition such that the N=2 vector multilplet transforms canonically under the deformed symmetries.