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An interpretation is suggested that a spontaneous compactification ofspace-time can be regarded as a topological defect in a higher-dimensionalEinstein-Yang-Mills (EYM) theory. We start with $D$-dimensional EYM theory inour present analysis. A compactification leads to a $D-2$ dimensional effectiveaction of Abelian gauge-Higgs theory. We find a "vortex" solution in theeffective theory. Our universe appears to be confined in a center of a"vortex", which has $D-4$ large dimensions. In this paper we show an examplewith $SU(2)$ symmetry in the original EYM theory, and the resulting solution isfound to be equivalent to the "instanton-induced compactification". Thecosmological implication is also mentioned.

The Universe as a Topological Defect in a Higher-Dimensional Einstein-Yang-Mills Theory