In physics, the trinification model is a GUT theory.
It states that the gauge group is either
or
and that the fermions form three families, each consisting of the representations:
This includes the right-handed neutrino, which can account for observed neutrino masses (but has not yet been proved to exist). See neutrino oscillations.
There is also a
and also,
See restricted representation.
Note that there are two Majorana neutrinos per generation (which is consistent with neutrino oscillations). Also, a copy of
as well as
per generation decouple at the GUT breaking scale due to the couplings
and
Note that calling the representations things like
Since the homotopy group
this model predicts monopoles. See 't Hooft–Polyakov monopole.
This model is suggested by Sheldon Lee Glashow, Howard Georgi and Alvaro de Rujula, in 1984. This is one of the maximal subalgebra of E6, whose matter representation 27 has exactly the same representation as above.