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Stability of kinklike structures in generalized models

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arxiv 1906.05662 v4 pith:TV5TPF73 submitted 2019-06-13 hep-th

Stability of kinklike structures in generalized models

classification hep-th
keywords stabilityequationgeneralizedmodelsstructuresallowcalculateconditions
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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