2003/01/22 by Francesco Toppan, Toppan, Francesco
Computer Science · Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Matrix Theory and Algorithms #Rings, Modules, and Algebras #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/0301163
17 pages. Proceedings of the Workshop on Integrable Theories, Solitons and Duality, S. Paulo, July 2002. In JHEP
arxiv created 2003/01/22 · openalex publication_date 2003/01/22 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.