Domain walls in three-field models

TL;DR

This paper explores stable domain wall solutions in three-field scalar models, providing analytical solutions and discussing their potential applications across physics and nonlinear science.

Contribution

It presents new analytical solutions for domain walls in three-field models, including structures with internal defects, expanding understanding of defect configurations.

Findings

Derived explicit analytical solutions in BPS sectors

Identified internal structures within domain walls

Discussed applications in high energy physics and nonlinear science

Abstract

We investigate the presence of domain walls in models described by three real scalar fields. We search for stable defect structures which minimize the energy of the static field configurations. We work out explict orbits in field space and find several analytical solutions in all BPS sectors, some of them presenting internal structure such as the appearence of defects inside defects. We point out explicit applications in high energy physics, and in other branches of nonlinear science.