Universe as a topological defect in a higher-dimensional Einstein-Yang-Mills theory

Mathematics – Logic

Scientific paper

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Cosmology, Defects, Gauge Invariance, Relativity, Two Dimensional Models, Universe, Abel Function, Space-Time Functions, Symmetry, Topology

Scientific paper

An interpretation is suggested that a spontaneous compactification of space-time can be regarded as a topological defect in a higher-dimensional Einstein-Yang-Mills (EYM) theory. It starts with D-dimensional EYM theory in the present analysis. A compactification leads to a D-2 dimensional effective action of Abelian gauge-Higgs theory. A vortex solution was found in the effective theory. The universe appears to be confined in a center of a vortex, which has D-4 large dimensions. An example is shown with SU (2) symmetry in the original EYM theory, and the resulting solution is found to be equivalent to the instanton-induced compactification. The cosmological implication is also mentioned.

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