# Compact Chern-Simons vortices

## TL;DR

This paper introduces new Chern-Simons models in three dimensions that produce compact vortex solutions, with their profiles tunable by a parameter, and explores their energy properties.

## Contribution

It presents novel models of Chern-Simons vortices that can become compact as a parameter increases, expanding understanding of vortex configurations.

## Key findings

- Vortex profiles can be controlled by a single parameter.
- Vortices tend to become compact at large parameter values.
- Total energy of vortices is computed numerically.

## Abstract

We introduce and investigate new models of the Chern-Simons type in the three-dimensional spacetime, focusing on the existence of compact vortices. The models are controlled by potentials driven by a single real parameter that can be used to change the profile of the vortex solutions as they approach their boundary values. One of the models unveils an interesting new behavior, the tendency to make the vortex compact, as the parameter increases to larger and larger values. We also investigate the behavior of the energy density and calculate the total energy numerically.