Non-polynomial potentials with deformable topological structures

TL;DR

This paper develops scalar field models with deformable kink solutions, derived from multi-field models, and explores their implications for thick branes and gravity localization in warped geometries.

Contribution

It introduces a method to generate effective single-field models with tunable topological structures from multi-field systems, applied to brane-world scenarios.

Findings

Deformable kink solutions can be continuously tuned via parameters.

Thicker branes influence the warped geometry and gravity localization.

Effective models provide new insights into brane-world phenomenology.

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.