Physics NotePublished
Octonionic Realizations of 1-dimensional Extended Supersymmetries. A Classification
H.L. Carrion; M. Rojas; F. Toppan
2002
Publication details
- Authors
- H.L. Carrion; M. Rojas; F. Toppan
- Type
- Physics Note
- Status
- Published
- Publication date
- 2002
- Description
- The classification of the octonionic realizations of the one-dimensional extended supersymmetries is here furnished. These are non-associative realizations which, albeit inequivalent, are put in correspondence with a subclass of the already classified associative representations for $1D$ extended supersymmetries. Examples of dynamical systems invariant under octonionic realizations of the extended supersymmetries are given. We cite among the others the octonionic spinning particles, the $N=8$ KdV, etc. Possible applications to supersymmetric systems arising from dimensional reduction of the octonionic superstring and M-theory are mentioned.
- Year
- 2002
- Number
- CBPF-NF-044/02
- Linked to a thesis
- No
- Linked to a grant
- No