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Particles and Fields
Eur. Phys. J. C 9, 167-179
DOI 10.1007/s100529900015

On the solitons of the Chern-Simons-Higgs model

W.G. Fuertes1 - J.M. Guilarte2

1 Departamento de Física, Facultad de Ciencias, Universidad de Oviedo, Spain
2 Departamento de Física, Facultad de Ciencias, Universidad de Salamanca, Spain

Received: 9 October 1998 / Revised version: 12 December 1998 / Published online: 22 March 1999

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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