Cosmological Particle Creation and Baryon Number Violation in a Conformal Unified Theory

We consider a conformal unified theory as the basis of conformal-invariant cosmological model where the permanent rigid state of the universe is compatible with the primordial element abundance and supernova data. We show that the cosmological creation of vector Z and W bosons, in this case, is sufficient to explain the CMB temperature (2.7 K). The primordial bosons violate the baryon number in the standard model as a result of anomalous nonconservation of left-handed currents and a nonzero squeezed vacuum expectation value of the topological Chern-Simons functional.