Multiple zero modes of the Dirac operator in three dimensions

Details Multiple zero modes of the Dirac operator in three dimensions Multiple zero modes of the Dirac operator in three dimensions

2000-01-25

arxiv.org/abs/hep-th/0001164v1

Phys.Rev. D62 (2000) 085026

Physics

High Energy Physics

High Energy Physics - Theory

Latex file, 20 pages, no figures

Scientific paper

10.1103/PhysRevD.62.085026

One of the key properties of Dirac operators is the possibility of a degeneracy of zero modes. For the Abelian Dirac operator in three dimensions the construction of multiple zero modes has been sucessfully carried out only very recently. Here we generalise these results by discussing a much wider class of Dirac operators together with their zero modes. Further we show that those Dirac operators that do admit zero modes may be related to Hopf maps, where the Hopf index is related to the number of zero modes in a simple way.

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