BPS Maxwell-Chern-Simons vortices with internal structures: the Abelian Higgs and the gauged $CP(2)$ cases

TL;DR

This paper explores the existence and properties of BPS vortices in Maxwell-Chern-Simons models extended with an extra scalar source field, revealing how the source modifies vortex configurations.

Contribution

It introduces a novel analysis of BPS vortices in extended Maxwell-Chern-Simons models with an added scalar source, highlighting the impact on vortex structure and behavior.

Findings

Source field alters vortex shape and internal structure

Finite-difference solutions reveal new vortex features

Extended models support first-order BPS vortex solutions

Abstract

We investigate the existence of first-order vortices inherent to both the Maxwell-Chern-Simons-Higgs and the Maxwell-Chern-Simons-$CP(2)$ models extended via the inclusion of an extra scalar sector which plays the role of a source field. For both cases, we focus our attention on the time-independent configurations with radial symmetry which can be obtained through the implementation of the so-called Bogomol'nyi-Prasad-Sommerfield (BPS) prescription. In this sense, in order to solve the corresponding first-order differential equations, we introduce some particular scenarios which are driven by the source field whose presence, we expect, must change the way the resulting vortices behave. After solving the effective first-order system through a finite-difference algorithm, we comment about the main new effects induced by the presence of the source field in the shape of the final configurations.