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Trefoil symmetries I. Clover extensions beyond Coleman–Mandula theorem (2001)

Wills-Toro, L. A.

College Park, Md. : American Institute of Physics (AIP)

Journal of Mathematical Physics 42 (2001), S. 3915-3934

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ISSN: 1089-7658

Quelle: AIP Digital Archive

Thema: Mathematik , Physik

Notizen: A graded minimal Lie algebraic extension of the space–time symmetry is constructed involving only spin-1 multiplets as novel generators. The extension involves Z4×Z4 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. © 2001 American Institute of Physics.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1063/1.1383561

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Trefoil symmetry III. The full clover extension (2001)

Wills-Toro, L. A.

College Park, Md. : American Institute of Physics (AIP)

Journal of Mathematical Physics 42 (2001), S. 3947-3964

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ISSN: 1089-7658

Quelle: AIP Digital Archive

Thema: Mathematik , Physik

Notizen: We aim to approach a trefoil symmetry involving (Z4×Z4;q)-graded parameters, multiplets of generators of integer spin 〈2 with naive dimensions in the interval [0,1]. The resulting full clover extension involves as particular subalgebras the minimal clover extensions previously obtained. We address the introduction of further scalar, dimensionless multiplets, and central charges. They could provide connections among external and internal symmetries, perhaps after some graded symmetry breaking. © 2001 American Institute of Physics.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1063/1.1383560

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Trefoil symmetry II. Another clover extension (2001)

Wills-Toro, L. A.

College Park, Md. : American Institute of Physics (AIP)

Journal of Mathematical Physics 42 (2001), S. 3935-3946

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ISSN: 1089-7658

Quelle: AIP Digital Archive

Thema: Mathematik , Physik

Notizen: We construct a novel graded extension of the Poincaré group with integer spin multiplets as novel generators. The extension involves Z4×Z4 graded parameters and produce space–time translations through the composition of novel symmetric vector and scalar multiplets. © 2001 American Institute of Physics.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1063/1.1383559

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