String solutions in Chern-Simons-Higgs model coupled to an axion

TL;DR

This paper explores a 2+1 dimensional Chern-Simons-Higgs model coupled with an axion, deriving selfdual equations, establishing a supersymmetric extension, and presenting explicit vortex solutions.

Contribution

It introduces a specific potential enabling selfdual equations and supersymmetry in the Chern-Simons-Higgs-axion model, and provides explicit vortex solutions.

Findings

Derivation of selfdual equations and Bogomolny bound.

Establishment of N=2 supersymmetric extension.

Explicit electrically charged vortex solutions.

Abstract

We study a d=2+1 dimensional Chern-Simons gauge theory coupled to a Higgs scalar and an axion field, finding the form of the potential that allows the existence of selfdual equations and the corresponding Bogomolny bound for the energy of static configurations. We show that the same conditions allow for the N=2 supersymmetric extension of the model, reobtaining the BPS equations from the supersymmetry requirement. Explicit electrically charged vortex-like solutions to these equations are presented.