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Group-Theoretic Evidence for SO(10) Grand Unification
The hypercharges of the fermions are not uniquely determined in SO(10) grand
unification, but rather depend upon which linear combination of the two U(1)
subgroups of SO(10) > SU(3) X SU(2) X U(1) X U(1) remains unbroken. We show
that, in general, a given hypercharge assignment can be obtained only with very
high-dimensional Higgs representations. The observation that the standard model
is obtained with low-dimensional Higgs representations can therefore be
regarded as further evidence for SO(10) grand unification. This evidence is
independent of the fact that SO(10) > SU(5).Comment: 6 pages, Late
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