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arXiv · 1711.07873

Unveiling a spinor field classification with non-Abelian gauge symmetries

Luca Fabbri·Roldao da Rocha
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Abstract

A spinor fields classification with non-Abelian gauge symmetries is introduced, generalizing the the U(1) gauge symmetries-based Lounesto's classification. Here, a more general classification, contrary to the Lounesto's one, encompasses spinor multiplets, corresponding to non-Abelian gauge fields. The particular case of SU(2) gauge symmetry, encompassing electroweak and electromagnetic conserved charges, is then implemented by a non-Abelian spinor classification, now involving 14 mixed classes of spinor doublets. A richer flagpole, dipole, and flag-dipole structure naturally descends from this general classification. The Lounesto's classification of spinors is shown to arise as a Pauli's singlet, into this more general classification.

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Luca Fabbri, Roldao da Rocha. 2017-11-21. Unveiling a spinor field classification with non-Abelian gauge symmetries. https://doi.org/10.1016/j.physletb.2018.03.029

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