Physics NotePublished
On the Octonionic Superconformal M-algebra
F. Toppan
2002
Publication details
- Authors
- F. Toppan
- Type
- Physics Note
- Status
- Published
- Publication date
- 2002
- Description
- It is shown that besides the standard real algebraic framework for $M$-theory a consistent octonionic realization can be introduced. The octonionic $M$-superalgebra and superconformal $M$-algebra are derived. The first one involves $52$ real bosonic generators and presents a novel and surprising feature, its octonionic $M5$ (super-$5$-brane) sector coincides with the $M1$ and $M2$ sectors. The octonionic superconformal $M$-algebra is given by $OSp(1,8|{\bf O})$ and admits $239$ bosonic and $64$ fermionic generators.
- Year
- 2002
- Number
- CBPF-NF-045/02
- Linked to a thesis
- No
- Linked to a grant
- No