Corpus ID: 18162355

Superalgebras of (split-)division algebras and the split octonionic M-theory in (6, 5)-signature

@article{Kuznetsova2006SuperalgebrasO,
  title={Superalgebras of (split-)division algebras and the split octonionic M-theory in (6, 5)-signature},
  author={Z. Kuznetsova and F. Toppan},
  journal={arXiv: High Energy Physics - Theory},
  year={2006}
}
The connection of (split-)division algebras with Clifford algebras and supersymmetry is investigated. At first we introduce the class of superalgebras constructed from any given (split-)division algebra. We further specify which real Clifford algebras and real fundamental spinors can be reexpressed in terms of split-quaternions. Finally, we construct generalized supersymmetries admitting bosonic tensorial central charges in terms of (split-)division algebras. In particular we prove that split… Expand
10 Citations

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