Exceptional Yang-Mills theory
Thesis/Dissertation
·
OSTI ID:5483286
The applicability of exceptional Lie groups to a unified Yang-Mills theory of elementary particles and interactions is considered. In particular, the origin of fermion generations and quark color are examined from the related perspectives of exceptional geometry and representation theory. First, the groups pertinent to the octonions are studied and the consequences of an ambient (non-direct product) unification scheme (involving the G/sub 2/-maximal subgroups SU(3) and SO(4) and their intersection U(2)) are pursued in the particle content of the fundamental representation. Subsequently, these ideas are extended to Spin(7) and Spin(8) gauge theories, which embody more subtly the octonion product structure through triality outer automorphisms. Then the exceptional Jordan algebra - the structure-tripling generalization of the octonions - and its automorphism group F/sub 4/ with extension E/sub 6/ and maximal subgroups Spin(9) and (Sp(1)xSp(3))/Z/sub 2/ are explored as a final setting for unification.
- Research Organization:
- Oregon Univ., Eugene (USA)
- OSTI ID:
- 5483286
- Country of Publication:
- United States
- Language:
- English
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