Left-right SU(3)L X SU(3)R X U(1)X model with light, keV, and heavy neutrinos

We construct a full left-right model for the electroweak interactions based on the SU(3)(L) circle times SU(3)(R) circle times U(1)(X) gauge symmetry. The fermion content of the model is such that anomaly cancellation restricts the number of families to be a multiple of three. One of the most important features of the model is the joint presence of three light active neutrinos, three additional neutrinos at keV mass scale, and six heavy ones with masses around 10(11) GeV. They form a well-motivated part of the spectrum in the sense that they address challenging problems related to neutrino oscillation, warm dark matter, and baryogenesis through leptogenesis.