Compactlike kinks and vortices in generalized models

TL;DR

This paper explores how topological defects like kinks and vortices in generalized k-field models evolve into compactlike solutions as a parameter varies, revealing new features of these defects in higher-order kinetic theories.

Contribution

It introduces and analyzes the transition of topological defects into compactlike solutions within generalized k-field models, highlighting the role of a specific parameter.

Findings

Kinks and vortices can become compactlike solutions in generalized models.

The parameter controls the transition to compactlike defect solutions.

The study provides insights into the structure of topological defects in higher-order kinetic theories.

Abstract

This work deals with the presence of topological defects in k-field models, where the dynamics is generalized to include higher order power in the kinetic term. We investigate kinks in (1,1) dimensions and vortices in (2,1) dimensions, focusing on some specific features of the solutions. In particular, we show how the kinks and vortices change to compactlike solutions, controlled by the parameter used to introduce the generalized models.