One-loop renormalisation of N=1/2 supersymmetric gauge theory with a superpotential

TL;DR

This paper develops a superpotential for N=1/2 supersymmetric gauge theories with matter and examines their one-loop renormalisability, contributing to understanding quantum corrections in these theories.

Contribution

It introduces a superpotential for general N=1/2 supersymmetric gauge theories with matter and analyzes their one-loop renormalisability.

Findings

Superpotential constructed for N=1/2 theories with matter.

Confirmed one-loop renormalisability of the constructed theories.

Provides a framework for quantum corrections in N=1/2 supersymmetry.

Abstract

We construct a superpotential for the general N=1/2 supersymmetric gauge theory coupled to chiral matter in the fundamental and adjoint representations, and investigate the one-loop renormalisability of the theories.