Matching the linear spectra of twinlike defects

TL;DR

This paper investigates conditions under which different field models produce twinlike topological defects with identical linear spectra, including extensions to braneworld models with gravity.

Contribution

It derives algebraic conditions for twinlike defects to share the same linear spectrum and extends the analysis to braneworld scenarios with gravity effects.

Findings

Identified algebraic conditions for identical linear spectra in twinlike defects

Extended the analysis to include braneworld models with gravity

Provided criteria to distinguish twinlike defects beyond linear spectra

Abstract

Twinlike defects refer to topological defect solutions of some apparently different field models that share the same defect configuration and the same energy density. Usually, one can distinguish twinlike defects in terms of their linear spectra, but in some special cases twinlike defects even share the same linear spectrum. In this paper, we derive the algebraic conditions for two twinlike defects to share identical linear spectrum from the viewpoint of the normal modes of the linear fluctuations. We also extend our discussion to braneworld models, where gravity plays an important role.