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Non-Associativity in the Clifford Bundle on the Parallelizable Torsion 7-Sphere

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Author(s):
da Rocha, Roldao ; Traesel, Marcio A. ; Vaz, Jayme, Jr.
Total Authors: 3
Document type: Journal article
Source: Advances in Applied Clifford Algebras; v. 22, n. 3, p. 16-pg., 2012-09-01.
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. (AU)

FAPESP's process: 11/08710-1 - 7th International Conference on Quantum Theory and Symmetries
Grantee:Roldão da Rocha
Support Opportunities: Research Grants - Meeting - Abroad