  In this work, we provide a UV safe Trinification theory in which the Standard
Model is embedded. Using recently developed large number-of-flavor techniques,
safety is achieved by adding to the theory gauged vector-like fermions. We find
that all gauge, scalar quartic, and Yukawa couplings achieve an interacting
ultraviolet fixed point below the Planck scale. We find renormalization group
flow solutions matching the Standard Model in the IR, indicating a truly UV
completion of the Standard Model. Imposing constraints that realistic Higgs,
top, bottom, tau and reasonable neutrino masses are recovered, we find the set
of allowed solutions to be quite restrictive. Furthermore, the symmetry
breaking scale is predicted to be around 10 TeV, making this model vulnerable
to experiment.
