New results on twinlike models

Abstract

In this work we study the presence of kinks in models described by a single real scalar field in bidimensional spacetime. We work within the first-order framework, and we show how to write first-order differential equations that solve the equations of motion. The first-order equations strongly simplify the study of linear stability, which is implemented on general grounds. They also lead to a direct investigation of twinlike theories, which is used to introduce a family of models that support the same defect structure, with the very same energy density and linear stability.

6 pages, 1 figure

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• Cuscuton kinks and branes
• Twinlike Models for Self-Dual Maxwell-Higgs Theories
• Kink-antikink collisions for twin models
• New Results on Compact Structures
• Non-perturbative procedure for stable $K$-brane
• On the presence of twinlike models in cosmology
• $K$-field kinks: stability, exact solutions and new features
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• Kinks in higher derivative scalar field theory
• BPS bounds in supersymmetric extensions of K field theories
• Stability of kinklike structures in generalized models
• Radial vibrations of BPS skyrmions
• Generalized Born-Infeld-like models for kinks and branes
• Singular Pöschl-Teller II potentials and gravitating kinks
• Inflationary Twin Models
• Cosmological twinlike models with multi scalar fields
• Matching the linear spectra of twinlike defects
• New twinlike models for scalar fields
• Twinlike models for parametrized dark energy
• Chiral Dirac-Born-Infeld solitons with SDiff symmetry