# A two-dimensional soliton system in the Maxwell-Chern-Simons gauge model

## TL;DR

This paper investigates a (2+1)-dimensional Maxwell-Chern-Simons model with two scalar fields, revealing a novel vortex-Q-ball soliton system with quantized flux, charge, and angular momentum, studied through analytical and numerical methods.

## Contribution

It introduces a new two-dimensional soliton system combining vortex and Q-ball features within the Maxwell-Chern-Simons gauge model.

## Key findings

- The soliton system has quantized magnetic flux and electric charge.
- It possesses a nonzero angular momentum.
- The system exhibits combined vortex and Q-ball properties.

## Abstract

The (2 + 1)-dimensional Maxwell-Chern-Simons gauge model consisting of two complex scalar fields interacting through a common Abelian gauge field is considered. It is shown that the model has a solution that describes a soliton system consisting of vortex and Q-ball constituents. This two-dimensional soliton system possesses a quantized magnetic flux and a quantized electric charge. Moreover, the soliton system has 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 a vortex and a Q-ball.