Trefoil symmetries I. Clover extensions beyond Coleman–Mandula theorem

A graded minimal Lie algebraic extension of the space–time symmetry is constructed involving only spin-1 multiplets as novel generators. The extension involves Z 4 × Z 4 graded parameters and generators. It provides a bosonic analog to supersymmetry since the composition of three symmetric vector ch...

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Bibliographic Details
Published in:Journal of mathematical physics 2001-08, Vol.42 (8), p.3915-3934
Main Author: Wills-Toro, L. A.
Format: Article
Language:English
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Summary:A graded minimal Lie algebraic extension of the space–time symmetry is constructed involving only spin-1 multiplets as novel generators. The extension involves Z 4 × Z 4 graded parameters and generators. It provides a bosonic analog to supersymmetry since the composition of three symmetric vector charges produces a space–time translation. There arise three noncommutative four-dimensional manifolds with pseudometric.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.1383561