Nota de FísicaPublicado
On the Octonionic M-superalgebra
F. Toppan
2002
Dados da publicação
- Autores
- F. Toppan
- Tipo
- Nota de Física
- Status
- Publicado
- Data de publicação
- 2002
- Descrição
- The generalized supersymmetries admitting abelian bosonic tensorial central charges are classified in accordance with their division algebra structure (over ${\bf R}$, ${\bf C}$, ${\bf H}$ or ${\bf O}$). It is shown in particular that in $D=11$ dimensions, the $M$-superalgebra admits a consistent octonionic formulation, involving $52$ real bosonic generators (in place of the $528$ of the standard $M$-superalgebra). The octonionic $M5$ (super-$5$-brane) sector coincides with the octonionic $M1$ and $M2$ sectors, while in the standard formulation these sectors are all independent. The octonionic conformal and superconformal $M$-algebras are explicitly constructed. They are respectively given by the $Sp(8|{\bf O})$ ($OSp(1,8|{\bf O})$) (super)algebra of octonionic-valued (super)matrices, whose bosonic subalgebra consists of $232$ (and respectively $239$) generators.
- Ano
- 2002
- Número
- CBPF-NF-043/02
- Vínculo com tese
- Não
- Vínculo com bolsa
- Não