Stability of kinklike structures in generalized models
arXiv:1906.05662 · doi:10.1016/j.nuclphysb.2019.114883
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.
arXiv comment23 pages, text added, to appear in NPB
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- Generalized scalar field models in the presence of impurities
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- Bound states around vacuum in scalar ModMax model
- Radially symmetric scalar field solutions in the presence of cuscuton term