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Asymptotic Ultraviolet-safe Unification of Gauge and Yukawa Couplings: The exceptional case

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arxiv 2302.11671 v1 pith:SVBLSWSU submitted 2023-02-22 hep-th

classification hep-th
keywords gaugeunificationasymptoticcouplingsexceptionalyukawaachievedallows
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abstract

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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  1. Are there minimal exceptional aGUTs from stable 5D orbifolds?

    hep-ph 2025-01 conditional novelty 7.0 of 10

    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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