Stable 5D orbifold breakings of exceptional gauge groups never yield just the Standard Model gauge group, ruling out minimal exceptional asymptotic GUTs.
Asymptotic Ultraviolet-safe Unification of Gauge and Yukawa Couplings: The exceptional case
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The ultimate dream of unification models consists in combining both gauge and Yukawa couplings into one unified coupling. This is achieved by using a supersymmetric exceptional ${\rm E}_6$ gauge symmetry together with asymptotic unification in compact five-dimensional space-time. The ultraviolet fixed point requires exactly three fermion generations: one in the bulk, and the two light ones localised on the ${\rm SO}(10)$ boundary in order to cancel gauge anomalies. A second option allows to preserve baryon number and to lower the compactification scale down to the typical scales of the intermediate Pati-Salam gauge theory.
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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.