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Additional fermionic fields onto parallelizable 7-spheres. (arXiv:1803.08282v1 [hep-th])
来源于:arXiv
The geometric Fierz identities are here employed to generate new emergent
fermionic fields on the parallelizable (curvatureless, torsionfull) 7-sphere
($S^7$). Employing recently found new classes of spinor fields on the $S^7$
spin bundle, new classes of fermionic fields are obtained from their bilinear
covariants by a generalized reconstruction theorem, on the parallelizable
$S^7$. Using a generalized non-associative product on the octonionic bundle on
the parallelizable $S^7$, these new classes of algebraic spinor fields, lifted
onto the parallelizable $S^7$, are shown to correctly transform under the
Moufang loop generators on $S^7$. 查看全文>>