Superalgebras of (split-)division algebras and the split octonionic M-theory in (6,5)-signature
| dc.creator | Kuznetsova, Zhanna | |
| dc.creator | Toppan, Francesco | |
| dc.date | 2006-10-10 | |
| dc.date.accessioned | 2026-07-07T07:28:23Z | |
| dc.date.available | 2026-07-07T07:28:23Z | |
| dc.description | 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-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 (which only exist in the (10,1) Minkowskian and (2,9) signatures). | |
| dc.description | 16 pages | |
| dc.identifier | https://arxiv.org/abs/hep-th/0610122 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0610122 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/117713 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Mathematical Physics | |
| dc.title | Superalgebras of (split-)division algebras and the split octonionic M-theory in (6,5)-signature | |
| dc.type | text |