Non BPS topological defect associated with two coupled real field

TL;DR

This paper explores the stability of a non-BPS topological defect in a model with two coupled real scalar fields, analyzing the associated eigenvalue problem.

Contribution

It introduces a stability analysis framework for non-BPS defects in coupled scalar field models, highlighting their unique properties.

Findings

Identification of stability conditions for non-BPS defects

Analysis of eigenfunctions related to the defect stability

Insights into the potential landscape of coupled scalar fields

Abstract

We investigate a stability equation involving two-component eigenfunctions which is associated with a potential model in terms of two coupled real scalar fields, which presents non BPS topological defect.