Quaternionic and octonionic spinors

Details Quaternionic and octonionic spinors Quaternionic and octonionic spinors

2005-03-26

arxiv.org/abs/hep-th/0503210v1

Physics

High Energy Physics

High Energy Physics - Theory

15 pages. Talk given at the XIXth Max Born Symposium "Fundamental Interactions and Twistor-like Methods", Wroclaw, Sept. 2004.

Scientific paper

10.1063/1.1923342

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.

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