New Deformation of ${\cal N}=4$ Super-Yang-Mills Theory

TL;DR

This paper introduces a novel algebraic deformation of ${\cal N}=4$ Super-Yang-Mills theory that, through field decomposition, yields a low-energy effective model resembling the Standard Model or QCD, with spontaneous gauge symmetry breaking.

Contribution

It presents a new deformation method of ${\cal N}=4$ SYM that connects supersymmetric gauge theories to Standard Model-like and QCD-like models via field decomposition.

Findings

Supersymmetry is broken in certain limits.

The deformation leads to models similar to the Standard Model or QCD.

Gauge symmetry can be spontaneously broken by the vacuum.

Abstract

We propose a new algebraic deformation of ${\cal N}=4$ SYM via decomposition of spinor and scalar fields in vector supermultiplet. This decomposition generates degrees of freedom of usual quarks and leptons and the deformation model is a low energy effective model. We show that supersymmetry is broken in certain limit and the deformation model reduces to a SM-like model, or a QCD-like model. Meanwhile, gauge symmetry can be spontaneously broken by nontrivial supersymmetry vacuum.