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Non-Associativity in the Clifford Bundle on the Parallelizable Torsion 7-Sphere |
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| Authors: | Rold?o da Rocha Márcio A. Traesel Jayme Vaz Jr. |
| Affiliation: | 1. Centro de Matemática, Computa??o e Cogni?c?o, Universidade Federal do ABC, 09210-170, Santo André, SP, Brazil 2. Instituto Federal de Educa??o, Ciência e Tecnologia de S?o Paulo, Campus Caraguatatuba, 11665-310, Caraguatatuba, SP, Brazil 3. Departamento de Matemática Aplicada, IMECC Unicamp, CP 6065, 13083-859, Campinas, SP, Brazil |
| Abstract: | In this paper we discuss generalized properties of non-associativity in Clifford bundles on the 7-sphere S 7. Novel and prominent properties inherited from the non-associative structure of the Clifford bundle on S 7 are demonstrated. They naturally lead to general transformations of the spinor fields on S 7 and have dramatic consequences for the associated Ka?-Moody current algebras. All additional properties concerning the non-associative structure in the Clifford bundle on S 7 are considered. We further discuss and explore their applications. |
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