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

1998/09/02 by Yi-Shi Duan, Yishi Duan, Ying Jiang +2
Computer Science · Physics and Astronomy · #Digital Image Processing Techniques #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/9809011

10 pages, LaTeX

arxiv created 1998/09/02 · openalex publication_date 1998/09/02 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In the light of ϕ--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 ϕ--mapping which are determined in terms of the Hopf indices and the Brouwer degrees of ϕ--mapping. Furthermore, it is shown that all the topological defects are generated from where ϕ=0, i.e. from the zero points of the ϕ--mapping.

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