Division algebraic symmetry breaking

Reframing certain well-known particle models in terms of normed division algebras leads to two new results for BSM physics. (1) We identify a sequence of complex structures which induces a cascade of breaking symmetries: Spin(10) -> Pati-Salam -> Left-Right symmetric -> Standard model + B-L (both pre- and post-Higgs-mechanism). These complex structures derive from the octonions, then from the quaternions, then from the complex numbers. (2) We provide, also for the first time we believe, an explicit demonstration of left-right symmetric Higgs representations stemming from quatemionic triality, tri(H). Upon the breaking of su(2)(R), our Higgs reduces to the familiar standard model Higgs. (C) 2022 The Author(s). Published by Elsevier B.V.

Automated summary

Reframing certain well-known particle models in terms of normed division algebras leads to two new results for BSM physics. Firstly, we identify a sequence of complex structures that induce a cascade of breaking symmetries. Secondly, we provide an explicit demonstration of left-right symmetric Higgs representations stemming from quaternionic triality.