Abstract
Exceptional realizations of the Lorentz group are given via the exceptional Jordan algebra of Jordan, von Neumann and Wigner. The exceptional SL 2, C multiplets generate an intrinsically nonassociative algebra and have built in non-Abelian charge space properties. Considering these multiplets as the basis of a superspace it is shown how to give realizations of exceptional supersymmetry groups which incorporate important charge-space groups in a nontrivial way and which are different from the usual Clifford algebraic supersymmetry groups. Possible applications to the leptonic world are indicated.
Original language | English (US) |
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Pages (from-to) | 467-503 |
Number of pages | 37 |
Journal | Il Nuovo Cimento A Series 11 |
Volume | 29 |
Issue number | 4 |
DOIs | |
State | Published - Oct 1975 |
All Science Journal Classification (ASJC) codes
- Atomic and Molecular Physics, and Optics
- Nuclear and High Energy Physics
- Astronomy and Astrophysics