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331 models and grand unification: From minimal SU(5) to minimal SU(6)

2016/08/18 by Frank F. Deppisch, Chandan Hati, Sudhanwa Patra +3 · 3 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Computer science #Gauge group #Gauge theory #Grand Unified Theory #Mathematical physics #Neutrino #Neutrino Physics Research #Particle physics #Particle physics theoretical and experimental studies #Physics #SO(10) #Seesaw mechanism #Seesaw molecular geometry #Special unitary group #Supersymmetry #Type (biology) #Unification #hep-ph

paper · pdf · doi:10.1016/j.physletb.2016.10.002

22 pages, 6 figures

arxiv created 2016/08/18 · arxiv updated 2016/10/07 · openalex publication_date 2016/10/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We consider the possibility of grand unification of the SU(3)c⊗SU(3)L⊗U(1)X model in an SU(6) gauge unification group. Two possibilities arise. Unlike other conventional grand unified theories, in SU(6) one can embed the 331 model as a subgroup such that different multiplets appear with different multiplicities. Such a scenario may emerge from the flux breaking of the unified group in an E(6) F-theory GUT. This provides new ways of achieving gauge coupling unification in 331 models while providing the radiative origin of neutrino masses. Alternatively, a sequential variant of the SU(3)c⊗SU(3)L⊗U(1)X model can fit within a minimal SU(6) grand unification, which in turn can be a natural E(6) subgroup. This minimal SU(6) embedding does not require any bulk exotics to account for the chiral families while allowing for a TeV scale SU(3)c⊗SU(3)L⊗U(1)X model with seesaw-type neutrino masses.

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