Quaternionic and Octonionic Spinors
Journal Article
·
· AIP Conference Proceedings
- CCP/CBPF, Rua Dr. Xavier Sigaud 150, cep 22290-180 Rio de Janeiro, RJ (Brazil)
Quaternionic and octonionic spinors are introduced and their fundamental properties (such as the space-times supporting them) are reviewed. The conditions for the existence of their associated Dirac equations are analyzed. Quaternionic and octonionic supersymmetric algebras defined in terms of such spinors are constructed. Specializing to the D = 11-dimensional case, the relation of both the quaternionic and the octonionic supersymmetries with the ordinary M-algebra are discussed.
- OSTI ID:
- 20630893
- Journal Information:
- AIP Conference Proceedings, Journal Name: AIP Conference Proceedings Journal Issue: 1 Vol. 767; ISSN APCPCS; ISSN 0094-243X
- Country of Publication:
- United States
- Language:
- English
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