Group-theoretic evidence for SO(10) grand unification

J. Lykken, T. Montroy, S. Willenbrock

Research output: Contribution to journalArticlepeer-review


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) × SU(2) × U(1) × 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).

Original languageEnglish (US)
Pages (from-to)141-144
Number of pages4
JournalPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Issue number1-2
StatePublished - Jan 29 1998

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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