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Systematic classification of aGUT models in five dimensions: The SU(N) kinship
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Asymptotic Grand Unification theories (aGUTs) in five dimensions provide a valid alternative to standard quantitative unification. We define the pathway towards viable models starting from a general unified bulk gauge symmetry. Imposing the presence of ultra-violet fixed points for both gauge and Yukawa couplings strongly limits the possibilities. Within the SU(N) kinship, we identify and characterise only two realistic minimal models, both based on a bulk SU(6) symmetry. Both models feature the generation of either up or down-type Yukawas via gauge scalars, two Higgs doublets with build-in minimal flavour violation at low energies, and conservation of baryon number. We also propose interesting avenues beyond the minimality criterion.
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Are there minimal exceptional aGUTs from stable 5D orbifolds?
Stable 5D orbifold breakings of exceptional gauge groups never yield just the Standard Model gauge group, ruling out minimal exceptional asymptotic GUTs.
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