Deppisch, Frank F.Frank F.DeppischHati, ChandanChandanHatiPatra, SudhanwaSudhanwaPatraSarkar, UtpalUtpalSarkarValle, Jose W. F.Jose W. F.Valle2025-08-222025-08-222016-08-012331-8422http://arxiv.org/abs/1608.05334https://d8.irins.org/handle/IITG2025/18197We 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 SU(3)c⊗SU(3)L⊗U(1)X 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 SU(3)c⊗SU(3)L⊗U(1)X 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 massesen-USHigh Energy PhysicsPhenomenologye-Printe-Print123456789/615