Grand Unified Theory based on the SU(6) symmetry

Abstract

We present a complete set of generators for the rank 5 special unitary group, SU(6), to unify strong, weak and electromagnetic interactions. The unification is realized through the breaking pattern of SU)6) -> SU(3)_C x SU(3)_H x U(1)_C followed by SU(3)_H -> SU(2)_L x U(1)_B. All known elementary particles and its quantum numbers are well accomodated in its {6} and {15} multiplets. These multiplets require a new neutral fermion which should be assigned as the heavy Majorana neutrino to realize the seesaw mechanism naturally in the minimal scenario of this model.

13 pages, 1 figure, a reference added, typos on refs are corrected

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• Solar 8B and hep Neutrino Measurements from 1258 Days of Super-Kamiokande Data
• A Precise Determination of Electroweak Parameters in Neutrino-Nucleon Scattering
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Cited by in corpus (11)

• Neutrino masses and superheavy dark matter in the 3-3-1-1 model
• Beyond the standard model with six-dimensional spinors
• Unified theory in the worldline approach
• A Supersymmetric Grand Unified Model with Noncompact Horizontal Symmetry
• A group-theorist's perspective on symmetry groups in physics
• Potential applications of modular representation theory to quantum mechanics
• Large $N_f$ for multiple representations
• Near-brane SU(6) origin Higgs in Scherk-Schwarz breaking of five-dimensional SU(6) GUT
• Lowest Dimensional Portals to SU($N$) Exotics
• Fractional shot noise of an SU(N) Kondo system
• A Mathematical Construction of an E6 Grand Unified Theory