Nota de FísicaPublicado
On the Octonionic M-algebra and superconformal M-algebra
F. Toppan
2003
Datos de la publicación
- Autores
- F. Toppan
- Tipo
- Nota de Física
- Estado
- Publicado
- Fecha de publicación
- 2003
- Descripción
- It is shown that the $M$-algebra related with the $M$ theory comes in two variants. Besides the standard $M$ algebra based on the real structure, an alternative octonionic formulation can be consistently introduced. This second variant has striking features. It involves only $52$ real bosonic generators instead of $528$ of the standard $M$ algebra and moreover presents a novel and surprising feature, its octonionic $M5$ (super-$5$-brane) sector is no longer independent, but coincides with the octonionic $M1$ and $M2$ sectors. This is in consequence of the non-associativity of the octonions. An octonionic version of the superconformal $M$-algebra also exists. It is given by $OSp(1,8|{\bf O})$ and admits $239$ bosonic and $64$ fermionic generators. It is speculated that the octonionic $M$-algebra can be related to the exceptional Lie and Jordan algebras that apparently play a special role in the Theory Of Everything.
- Año
- 2003
- Número
- CBPF-NF-016/03
- Vínculo con tesis
- No
- Vínculo con beca
- No