Unveiling a spinor field classification with non-Abelian gauge symmetries

Fabbri, Luca (DIME, Università di Genova, P. Kennedy Pad. D, Genova, 16129, Italy) ; da Rocha, Roldão  (CMCC, Universidade Federal do ABC, Santo André, 09210-580, Brazil)

15 March 2018

Abstract: A spinor fields classification with non-Abelian gauge symmetries is introduced, generalizing 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.

Published in: Physics letters B (2018)