Quaternionic and octonionic spinors
高能物理 - 理论
2009-11-11 v1
摘要
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.
引用
@article{arxiv.hep-th/0503210,
title = {Quaternionic and octonionic spinors},
author = {Francesco Toppan},
journal= {arXiv preprint arXiv:hep-th/0503210},
year = {2009}
}
备注
15 pages. Talk given at the XIXth Max Born Symposium "Fundamental Interactions and Twistor-like Methods", Wroclaw, Sept. 2004. To appear in the Proceedings