On the Scalar Potential Models from the Isospectral Potential Class

TL;DR

This paper investigates static solutions in (1+1)-dimensional scalar field models derived from isospectral potentials, focusing on non-topological configurations and supersymmetry breaking.

Contribution

It introduces new scalar potential models from isospectral classes and analyzes their static solutions, including non-topological configurations and supersymmetry breaking.

Findings

Identified static non-topological configurations with a single vacuum

Demonstrated supersymmetry breaking in certain models

Explored bosonic zero-mode solutions in these models

Abstract

Static field classical configurations in (1+1)-dimensions for new non-linear potential models are investigated from an isospectral potential class and the concept of bosonic zero- mode solution. One of the models here considered has a static non-topological configuration with a single vacuum state that breaks supersymmetry.