Group-Theoretic Evidence for SO(10) Grand Unification

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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6 pages, LateX

Scientific paper

10.1016/S0370-2693(97)01416-0

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).

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