English

Stability of kinklike structures in generalized models

High Energy Physics - Theory 2019-12-12 v4

Abstract

We study the stability of topological structures in generalized models with a single real scalar field. We show that it is driven by a Sturm-Liouville equation and investigate the conditions that lead to the existence of explicit supersymmetric operators that factorize the stability equation and allow us to construct partner potentials. In this context, we discuss the property of shape invariance as a possible manner to calculate the discrete states and their respective eigenvalues.

Keywords

Cite

@article{arxiv.1906.05662,
  title  = {Stability of kinklike structures in generalized models},
  author = {I. Andrade and M. A. Marques and R. Menezes},
  journal= {arXiv preprint arXiv:1906.05662},
  year   = {2019}
}

Comments

23 pages, text added, to appear in NPB

R2 v1 2026-06-23T09:52:42.176Z