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

Roldao da Rocha, M. A. Traesel, Jayme Vaz Jr

Published 2012-09-03Version 1

In this paper we discuss generalized properties of non-associativity in Clifford bundles on the 7-sphere S7. Novel and prominent properties inherited from the non-associative structure of the Clifford bundle on S7 are demonstrated. They naturally lead to general transformations of the spinor fields on S7 and have dramatic consequences for the associated Kac-Moody current algebras. All additional properties concerning the non-associative structure in the Clifford bundle on S7 are considered. We further discuss and explore their applications.