Kinky vortons in the 2HDM

TL;DR

This paper constructs and analyzes stable, current-carrying ring solutions called kinky vortons within the two-Higgs-doublet model, demonstrating their stability and describing their properties with high accuracy, thus supporting their relevance in particle physics models.

Contribution

It introduces and characterizes kinky vorton solutions in the 2HDM, showing their stability and applicability as proxies for vortons in extended Standard Model frameworks.

Findings

Multiple stable vorton configurations identified

High-accuracy modeling with thin string approximation

Potential formation of kinky-vorton-like defects in 3D

Abstract

We construct and analyse two-dimensional, current-carrying ring solutions, known as kinky vortons, in the $\mathbb{Z}_2$-symmetric global two-Higgs-doublet model (2HDM). We demonstrate the existence of multiple dynamically stable configurations that persist under non-axially symmetric perturbations. These solutions are described with high accuracy by the thin string approximation and elastic string formalism, which correctly capture both their equilibrium radii and dynamical oscillation frequencies. Kinky vortons in the $\mathbb{Z}_2$-symmetric theory establish the viability of vorton solutions in a phenomenologically motivated extension of the Standard Model, and should provide a computationally tractable proxy for vortons in the $U(1)$-symmetric 2HDM. In addition, we identify a composite domain wall configuration in which localized condensates are supported on secondary domain walls existing on a $\mathbb{Z}_2$ wall, suggesting a mechanism by which kinky-vorton-like defects could arise in a three dimensional setting.