A Noncommutative Version of the Minimal Supersymmetric Standard Model

TL;DR

This paper introduces a noncommutative version of the minimal supersymmetric standard model, ensuring gauge invariance and anomaly cancellation, with a focus on supersymmetry breaking at a scale below the noncommutative scale.

Contribution

It presents the first consistent formulation of a supersymmetric standard model on noncommutative space-time with gauge invariance and anomaly freedom.

Findings

Model satisfies noncommutative gauge invariance

Achieves anomaly cancellation

Supersymmetry breaking scale is below noncommutative scale

Abstract

A minimal supersymmetric standard model on noncommutative space-time (NC MSSM) is proposed. The model fulfils the requirements of noncommutative gauge invariance and absence of anomaly. The existence of supersymmetry with a scale of its breaking lower than the noncommutative scale is crucial in order to achieve a consistent gauge symmetry breaking.