- Trinification
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 :, and :.
This includes the right-handed neutrino, which can account for observed neutrino masses (but has not yet been proved to exist). See
neutrino oscillation s.There is also a and maybe also a
scalar field called theHiggs field which acquires a VEV. This results in aspontaneous symmetry breaking from: to
and also,
:,
:,
:,
:,
:,
:.
See
restricted representation .Note that there are two Majorana neutrinos per generation (which is consistent with
neutrino oscillation s). Also, a copy ofand
as well as
and
per generation decouple at the GUT breaking scale due to the couplings
and
.
Note that calling the representations things like and (8,1,1) is purely a physicist's convention, not a mathematician's convention, where representations are either labelled by
Young tableau x orDynkin diagram s with numbers on their vertices, but still, it is standard among GUT theorists.Since the
homotopy group ,
this model predicts
monopoles . See't Hooft-Polyakov monopole .This model is suggested by
Sheldon Lee Glashow ,Howard Georgi andAlvaro de Rujula , in 1984. This is one of themaximal subalgebra of E6, whose matter representation 27 has exactly the same representation as above.
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