Physics NotePublished
(Split-)Octonions, Generalized Supersymmetries and M-Theory
Publication details
- Authors
- —
- Type
- Physics Note
- Status
- Published
- Publication date
- 08/08/2006
- Description
- In this talk I discuss the results of a joint paper with Z. Kuznetsova, where the split-division algebras are introduced to construct generalized supersymmetries in different space-time signatures. In particular, in $D=11$ dimensions, it is shown that split-octonions allow to introduce a split-octonionic $M$-algebra which extends to the $(6,5)$ signature the properties of the $11$-dimensional octonionic $M$-algebras, only existing in $(10,1)$ and $(2,9)$ signatures. The three space-times above form a triality-related set of (split-)octonionic, eleven dimensional, spacetimes.
- Year
- 2006
- Linked to a thesis
- No
- Linked to a grant
- No