On the solitons of the Chern-Simons-Higgs model

TL;DR

This paper investigates the structure and properties of self-dual solitons in the Chern-Simons-Higgs model, focusing on topology, moduli space, and non-compactness effects on solutions.

Contribution

It provides a detailed analysis of the moduli space and topology of self-dual solutions, including handling non-integer heat-kernel contributions due to non-compact spaces.

Findings

Topology of configuration space analyzed for plane and cylinder

Local structure of moduli space studied via index computation

Management of non-integer heat-kernel contributions achieved

Abstract

Several issues concerning the self-dual solutions of the Chern-Simons-Higgs model are addressed. The topology of the configuration space of the model is analysed when the space manifold is either the plane or an infinite cylinder. We study the local structure of the moduli space of self-dual solitons in the second case by means of an index computation. It is shown how to manage the non-integer contribution to the heat-kernel supertrace due to the non-compactness of the base space. A physical picture of the local coordinates parametrizing the non-topological soliton moduli space arises .