On the solitons of the Chern-Simons-Higgs model

Details On the solitons of the Chern-Simons-Higgs model On the solitons of the Chern-Simons-Higgs model

1998-12-12

arxiv.org/abs/hep-th/9812102v1

Eur.Phys.J.C9:167-179,1999

Physics

High Energy Physics

High Energy Physics - Theory

27 pages, 3 figures, to appear in The European Physical Journal C

Scientific paper

10.1007/s100529900015

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 .

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