# A two-dimensional soliton system of vortex and Q-ball

## TL;DR

This paper introduces a (2+1)-dimensional gauge model with two interacting scalar fields that form a novel vortex-Q-ball soliton system, exhibiting unique electromagnetic and topological properties.

## Contribution

It presents the first analytical and numerical study of a vortex-Q-ball soliton system in a gauge model, revealing its combined topological and nontopological features.

## Key findings

- The system has a quantized magnetic flux.
- It possesses a nonzero electric field despite being electrically neutral.
- The soliton has nonzero angular momentum.

## Abstract

The (2 + 1)-dimensional gauge model describing two complex scalar fields that interact through a common Abelian gauge field is considered. It is shown that the model has a soliton solution that describes a system consisting of a vortex and a Q-ball. This two-dimensional system is electrically neutral, nevertheless it possesses a nonzero electric field. Moreover, the soliton system has a quantized magnetic flux and a nonzero angular momentum. Properties of this vortex-Q-ball system are investigated by analytical and numerical methods. It is found that the system combines properties of topological and nontopological solitons.