Exceptional realizations of the lorentz group: Supersymmetries and leptons

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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 languageEnglish (US)
Pages (from-to)467-503
Number of pages37
JournalIl Nuovo Cimento A Series 11
Volume29
Issue number4
DOIs
StatePublished - Oct 1 1975

All Science Journal Classification (ASJC) codes

  • Atomic and Molecular Physics, and Optics
  • Nuclear and High Energy Physics
  • Astronomy and Astrophysics

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