Conformal Properties of Chern-Simons Vortices in External Fields
C. Duval, P.A. Horv\'athy, L. Palla
TL;DR
This paper generalizes the conformal properties and symmetries of Chern-Simons vortices in external magnetic fields using a non-relativistic Kaluza-Klein framework, identifying all Schrödinger-symmetric backgrounds.
Contribution
It introduces a non-relativistic Kaluza-Klein approach to analyze and extend the symmetry properties of Chern-Simons vortices in external fields.
Findings
All Schrödinger-symmetric backgrounds are identified.
The symmetries of Chern-Simons vortices are generalized.
A unified framework for vortex symmetries is developed.
Abstract
The construction and the symmetries of Chern-Simons vortices in harmonic and uniform magnetic force backgrounds found by Ezawa, Hotta and Iwazaki, and by Jackiw and Pi are generalized using the non-relativistic Kaluza-Klein-type framework presented in our previous paper. All Schr\"odinger-symmetric backgrounds are determined. (10 pages. PlainTex)
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