The generation of the (k1)dimensional defect objects and their topological quantization
Abstract
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.
 Publication:

arXiv eprints
 Pub Date:
 September 1998
 DOI:
 10.48550/arXiv.hepth/9809011
 arXiv:
 arXiv:hepth/9809011
 Bibcode:
 1998hep.th....9011D
 Keywords:

 High Energy Physics  Theory
 EPrint:
 10 pages, LaTeX