Non-polynomial potentials with deformable topological structures

Abstract

We construct models of self-interacting scalar fields whose BPS solutions exhibit kink profiles which can be continuously deformed into two-kinks by varying one of the parameters of the self-interacting potential. The effective models are obtained from other models with two interacting scalar fields. The effective models are then applied in a brane-world scenario where we analyze the consequences of the thicker branes in the warped geometry and in the localization of gravity.

16 pages, 5 figures

References in corpus (4)

• Thick brane solutions
• Degenerate and critical Bloch branes
• General solutions for some classes of interacting two field kinks
• Fermions on one or fewer Kinks

Cited by in corpus (18)

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• Study of models of the sine-Gordon type in flat and curved spacetime
• Effects of temperature on thick branes and the fermion (quasi-)localization
• Kinklike structures in scalar field theories: from one-field to two-field models
• New Results on Compact Structures
• Analytical Multi-kinks in smooth potentials
• Wide Localized Solitons in Systems with Time and Space-Modulated Nonlinearities
• Multikink solutions and deformed defects
• Construction of new scalar field models from the standard ${\varphi }^4$ theory
• Orbit based procedure for doublets of scalar fields and the emergence of triple kinks and other defects
• Gravity and Matters on a pure geometric thick polynomial $f(R)$ brane
• Building analytical three-field cosmological models
• Kinks in massive non-linear ${\mathbb{S}}^1\times {\mathbb{S}}^1$-Sigma models
• Topological and non-topological kink families in non-linear $({\mathbb{S}}^1\times {\mathbb{S}}^1)$-Sigma models