Abstract

Gauge theories on coset spaces and dynamical mechanisms for generating internal symmetries were investigated. Gauge theories on cosets with respect to maximal subgroups of local internal symmetry groups contain reduced number of dynamically independent gauge fields. The transformation law of the gauge fields is nonlinear. Such theories can be interpreted in terms of a spontaneously broken internal symmetry. Internal symmetries may be generated in multidimensional geometric theory with vacuum solutions of the cylindrical type. Spinor fields on such spaces support intrinsically broken, approximate internal symmetries.

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