Non-relativistic Maxwell-Chern-Simons Vortices

TL;DR

This paper explores self-dual vortex solutions with electric fields in a non-relativistic Maxwell-Chern-Simons model, extending it to spinors and connecting it to a relativistic counterpart, revealing underlying symmetries and relations to prior research.

Contribution

It introduces self-dual vortex solutions with electric fields in the non-relativistic Maxwell-Chern-Simons model and extends the theory to spinors, also presenting a related relativistic model.

Findings

Existence of self-dual vortex solutions with electric fields.

Extension of the model to non-relativistic spinors.

Connection between non-relativistic and relativistic models.

Abstract

The non-relativistic Maxwell-Chern-Simons model recently introduced by Manton is shown to admit self-dual vortex solutions with non-zero electric field. The interrelated ``geometric'' and ``hidden'' symmetries are explained. The theory is also extended to (non-relativistic) spinors. A relativistic, self-dual model, whose non-relativistic limit is the Manton model is also presented. The relation to previous work is discussed.