Division Algebras, (1,9)-Space-Time, Matter-Antimatter Mixing

Details Division Algebras, (1,9)-Space-Time, Matter-Antimatter Mixing Division Algebras, (1,9)-Space-Time, Matter-Antimatter Mixing

1993-03-05

arxiv.org/abs/hep-th/9303039v1

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, BRX TH-315

Scientific paper

The tensor product of the division algebras, which is a kernel for the structure of the Standard Model, is also a root for the Clifford algebra of (1,9)-space-time. A conventional Dirac Lagrangian, employing the (1,9)-Dirac operator acting on the Standard Model hyperfield, gives rise to matter into antimatter transitions not mediated by any gauge field. These transitions are eliminated by restricting the dependencies of the components of the hyperfield on the extra six dimensions, which appear in this context as a complex triple.

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