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We study some properties of topological Chern-Simons vortices in 2 + 1dimensions. As has already been understood in the past, in the large magneticflux limit, they are well described by a Chern-Simons domain wall, which hasbeen compactified on a circle with the symmetric phase inside and theasymmetric phase on the outside. Our goal is two-fold. First we want to explorehow the tension depends on the magnetic flux discretized by the integer n. TheBPS case is already known, but not much has been explored about the non-BPSpotentials. A generic renormalizable potential has two dimensionless parametersthat can be varied. Variation of only one of them lead to a type I and type IIvortex, very similar to the Abrikosov-Nielsen-Olesen (ANO) case. Variation ofboth the parameters leads to a much richer structure. In particular we havefound a new type of vortex, which is type I-like for small flux and then turnstype II-like for larger flux. We could tentatively denote it a type III vortex.This results in a stable vortex with number of fluxes which can be greater thanone. Our second objective is to study the Maxwell-Chern-Simons theory and andunderstand how the large n limit of the CS vortex is smoothly connected withthe large n limit of the ANO vortex.

A Note on Chern-Simons Solitons - a type III vortex from the wall vortex