Vortices in a parity-invariant Maxwell-Chern-Simons model

TL;DR

This paper introduces a parity-invariant Maxwell-Chern-Simons model with two scalar fields in 2+1 dimensions, revealing finite-energy vortices characterized by two integers and providing explicit numerical solutions.

Contribution

It presents a novel parity-invariant $U(1) imes U(1)$ Maxwell-Chern-Simons model with charged scalars, and demonstrates the existence of topological vortices with unique properties.

Findings

Finite-energy vortices with two integer quantum numbers identified.

Numerical solutions for vortex equations obtained under various parameters.

Model naturally incorporates parity invariance, a rare feature in Chern-Simons theories.

Abstract

In this work we propose a parity-invariant Maxwell-Chern-Simons $U(1) \times U(1)$ model coupled with two charged scalar fields in $2+1$ dimensions, and show that it admits finite-energy topological vortices. We describe the main features of the model and find explicit numerical solutions for the equations of motion, considering different sets of parameters and analyzing some interesting particular regimes. We remark that the structure of the theory follows naturally from the requirement of parity invariance, a symmetry that is rarely envisaged in the context of Chern-Simons theories. Another distinctive aspect is that the vortices found here are characterized by two integer numbers.