--- title: "Generalized Space-time Supersymmetries, Division Algebras and Octonionic M-theory • CBPF Index" description: "CBPF INDEX es el sistema de seguimiento de la producción científica y tecnológica del CBPF. En él se puede obtener la lista de publicaciones de artículos, libros, informes técnicos, etc. de toda la comunidad del CBPF." canonical_url: "https://index.cbpf.br/es/publicacoes/6ad2a767639f62b11adbb033" locale: es meta: "og:description": "CBPF INDEX es el sistema de seguimiento de la producción científica y tecnológica del CBPF. En él se puede obtener la lista de publicaciones de artículos, libros, informes técnicos, etc. de toda la comunidad del CBPF." "og:image": "https://index.cbpf.br/_og/d/c_Item%2Ctitulo_~R2VuZXJhbGl6ZWQgU3BhY2UtdGltZSBTdXBlcnN5bW1ldHJpZXMsIERpdmlzaW9uIEFsZ2VicmFzIGFuZCBPY3RvbmlvbmljIE0tdGhlb3J5%2Ctipo_~Tm90YSBkZSBGw61zaWNh%2Ccor_~I2E4MmMwMA%2Cautores_~SmVyenkgTHVraWVyc2tpOyBGLiBUb3BwYW4%2Cdetalhe_2002%2Csecao_Publicaciones%2Cp_Ii9lcy9wdWJsaWNhY29lcy82YWQyYTc2NzYzOWY2MmIxMWFkYmIwMzMi%2Cs_5Rkj1jFlBRIoO-_9.png" "og:image:height": "600" "og:image:type": image/png "og:image:width": "1200" "og:title": "Generalized Space-time Supersymmetries, Division Algebras and Octonionic M-theory • CBPF Index" "twitter:image": "https://index.cbpf.br/_og/d/c_Item%2Ctitulo_~R2VuZXJhbGl6ZWQgU3BhY2UtdGltZSBTdXBlcnN5bW1ldHJpZXMsIERpdmlzaW9uIEFsZ2VicmFzIGFuZCBPY3RvbmlvbmljIE0tdGhlb3J5%2Ctipo_~Tm90YSBkZSBGw61zaWNh%2Ccor_~I2E4MmMwMA%2Cautores_~SmVyenkgTHVraWVyc2tpOyBGLiBUb3BwYW4%2Cdetalhe_2002%2Csecao_Publicaciones%2Cp_Ii9lcy9wdWJsaWNhY29lcy82YWQyYTc2NzYzOWY2MmIxMWFkYmIwMzMi%2Cs_5Rkj1jFlBRIoO-_9.png" --- > Index of every page on this site: [llms.txt](https://index.cbpf.br/llms.txt) **Nota de Física****Publicado** # **Generalized Space-time Supersymmetries, Division Algebras and Octonionic M-theory** **Jerzy Lukierski; F. Toppan** 2002 [**Descargar PDF **0,2 MB](https://index.cbpf.br/files/publicacao/6ad2a767639f62b11adbb033/pdf) [**Contactar al responsable**](mailto:apub@cbpf.br?subject=Generalized%20Space-time%20Supersymmetries%2C%20Division%20Algebras%20and%20Octonionic%20M-theory) ## **Datos de la publicación**
Autores
Jerzy Lukierski; F. Toppan
Tipo
Nota de Física
Estado
Publicado
Fecha de publicación
2002
Descripción
We describe the set of generalized Poincar\'{e} and conformal superalgebras in $D=4,5$ and $7$ dimensions as two sequences of superalgebraic structures, taking values in the division algebras ${\bf R},{\bf C}$ and ${\bf H}$. The generalized conformal superalgebras are described for $D=4$ by $OSp(1;8|{\bf R})$, for $D=5$ by $SU(4,4;1)$ and for $D=7$ by $U_\alpha U(8;1|{\bf H})$. The relation with other schemes, in particular the framework of conformal spin (super)algebras and Jordan (super)algebras is discussed. By extending the division-algebra-valued superalgebras to octonions we get in $D=11$ an octonionic generalized Poincar\'{e} superalgebra, which we call {\em octonionic M-algebra}, describing the octonionic M-theory. It contains 32 real supercharges but, due to the octonionic structure, only $52$ real bosonic generators remain independent in place of the $528$ bosonic charges of standard $M$-algebra. In octonionic M-theory there is a sort of equivalence between the octonionic M2 (supermembrane) and the octonionic M5 (super-$5$-brane) sectors. We also define the octonionic generalized conformal M-superalgebra, with $239$ bosonic generators.
Año
2002
Número
CBPF-NF-001/02
Vínculo con tesis
No
Vínculo con beca
No
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