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.
All Science Journal Classification (ASJC) codes
- Atomic and Molecular Physics, and Optics
- Nuclear and High Energy Physics
- Astronomy and Astrophysics