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Paper detail

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

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.

preprint2012arXivOpen access
Roldao da RochaM. A. TraeselJayme Vaz Jr
math-phmath.QAmath.MPhep-th
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Roldao da RochaM. A. TraeselJayme Vaz Jr

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