Group-Theoretic Evidence for SO(10) Grand Unification

Abstract

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).

6 pages, LateX

Cited by in corpus (5)

• Yukawa Unified Supersymmetric SO(10) Model: Cosmology, Rare Decays and Collider Searches
• Anomaly-Free Sets of Fermions
• Fermion masses without symmetry breaking in two spacetime dimensions
• Beyond the standard model with six-dimensional spinors
• Fermion Mass Hierarchy without Flavour Symmetry