Journal
JOURNAL OF GEOMETRY AND SYMMETRY IN PHYSICS
Volume 61, Issue -, Pages 1-16Publisher
INST BIOPHYSICS & BIOMEDICAL ENGINEERING, BULGARIAN ACAD SCIENCES
DOI: 10.7546/jgsp-61-2021-1-16
Keywords
Exceptional Jordan algebra; grand unified theories; standard model; gauge theories
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Recent papers have revitalized the study of the exceptional Jordan algebra h(3)(O) in its relations with the true Standard Model gauge group G(SM). The lack of complex representations of F-4 excludes Aut(h(3)(O)) from being a candidate for any Grand Unified Theories, but the automorphisms of the complexification of this algebra, i.e., h(3)(C)(O), are isomorphic to the compact form of E-6, leading to the gauge group of the minimal left-right symmetric extension of the Standard Model.
Recent papers contributed revitalizing the study of the exceptional Jordan algebra h(3)(O) in its relations with the true Standard Model gauge group G(SM). The absence of complex representations of F-4 does not allow Aut (h(3)(O)) to be a candidate for any Grand Unified Theories, but the automorphisms of the complexification of this algebra, i.e., h(3)(C)(O), are isomorphic to the compact form of E-6 and similar constructions lead to the gauge group of the minimal left-right symmetric extension of the Standard Model.
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