# Q-balls in the $U(1)$ gauged Friedberg-Lee-Sirlin model

## TL;DR

This paper explores new types of spinning, gauged Q-balls with electric and magnetic fields in a specific field theory, revealing their properties, existence conditions, and connections to vortex solutions.

## Contribution

It introduces axially-symmetric spinning gauged Q-balls with magnetic flux and links them to vorton solutions in the superconducting phase, expanding understanding of non-topological solitons.

## Key findings

- Discovery of axially-symmetric spinning gauged Q-balls with electric and magnetic fields.
- Identification of a new solution branch linked to magnetic flux and vortons.
- Analysis of the existence domains and properties of these solitons.

## Abstract

We consider the $U(1)$ gauged two-component Friedberg-Lee-Sirlin model in 3+1 dimensional Minkowski spacetime, which supports non-topological soliton configurations. Here we found families of axially-symmetric spinning gauged Q-balls, which possess both electric and magnetic fields. The coupling to the gauge sector gives rise to a new branch of solutions, which represent the soliton configuration coupled to a circular magnetic flux. Further, in superconducting phase this branch is linked to vorton type solutions which represent a vortex encircling the soliton. We discuss properties of these solutions and investigate their domains of existence.