Strings and the Gauge Theory of Spacetime Defects

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we present a new topological invariant to describe the space-time defect which is closely related to torsion tensor in Riemann-Cartan manifold. By virtue of the topological current theory and $ϕ$-mapping method, we show that there must exist many strings objects generated from the zero points of $ϕ$-mapping, and these strings are topological quantized and the topological quantum numbers is the Winding numbers described by the Hopf indices and the Brouwer degrees of the $ϕ$-mapping.
12 pages, no figures, LaTeX. Int. J. Theor. Phys., to appear in 1999, No.2

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