Abstract
We establish a new \(SU(N)\) symmetric model of interaction between the fields of four types: a multiplet of vector fields, which describes the so-called color aether, a multiplet of pseudoscalar fields, which is associated with a multi-component cosmic dark matter, gauge and gravitational fields. The extended Lagrangian of the model contains a new constructive element based on the covariant \(SU(N)\) symmetric divergence of the multiplet of vector fields; this new element, being a multiplet of scalars from the point of view of space-time transformations, and a color vector from the point of view of the \(SU(N)\) group space, gives us a possibility to properly formulate a multi-axionic extension of the Peccei-Quinn theory. A hypothesis of a spontaneous polarization of the multi-axionic color aether in the early Universe is presented. A set of self-consistent master equations of the model is derived. An application to cosmology is considered: the obtained master equations are solved for a truncated test model based on the Bianchi-I space-time platform.
