A theory of interacting gravity, vector, and antisymmetric third-rank tensor fields with self-consistent spontaneous compactification solutions of the Freund-Rubin type in seven-dimensional space-time is considered. A class of models is studied, which allow the same type of compactification and possess nontrivial solutions for the vector field. A subclass of the models is separated in which the four-dimensional Lorentz invariance is either unbroken or weakly broken.
Skobel’tsyn Institute of Nuclear Physics, Moscow State University, Moscow, 119991, Russia
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