The Breaking of the SU(3)^3 Gauge Group

TL;DR

This paper explores how the SU(3)^3 supersymmetric model can naturally break down to the standard model through a mechanism involving gauge singlets and discrete symmetries, avoiding fine-tuning and ensuring matter parity.

Contribution

It introduces a symmetry-based mechanism for symmetry breaking in the SU(3)^3 model that eliminates the need for fine-tuning and preserves matter parity.

Findings

Natural breaking to the standard model without fine-tuning

Automatic preservation of matter parity during symmetry breaking

Potential solutions to proton decay, FCNC, and hierarchy problems

Abstract

We discuss why the SU(3)^3 supersymmetric model with the most general superpotential can naturally break to the standard model if gauge singlets and a discrete symmetry are included. This mechanism does away with the need for fine-tuning in the form of the assumed absence of certain terms in the superpotential. It also automatically guarantees that any abelian discrete phase symmetry of the GUT will survive the symmetry breaking. Such a discrete symmetry, also known as the matter parity, is needed to suppress both proton decay and the flavor changing neutral current (FCNC), and may help solve the hierarchy problem.