The generation of the (k-1)-dimensional defect objects and their topological quantization

Details The generation of the (k-1)-dimensional defect objects and their topological quantization The generation of the (k-1)-dimensional defect objects and their topological quantization

1998-09-02

arxiv.org/abs/hep-th/9809011v1

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, LaTeX

Scientific paper

In the light of $\phi $--mapping method and topological current theory, the topological structure and the topological quantization of arbitrary dimensional topological defects are investigated. It is pointed out that the topological quantum numbers of the defects are described by the Winding numbers of $\phi $--mapping which are determined in terms of the Hopf indices and the Brouwer degrees of $\phi$--mapping. Furthermore, it is shown that all the topological defects are generated from where $\vec \phi =0$, i.e. from the zero points of the $\phi $--mapping.

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