Non-Trivial Extensions of the 3D-Poincaré Algebra and Fractional Supersymmetry for Anyons

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dc.creatorde Traubenberg, M. Rausch
dc.creatorSlupinski, M. J.
dc.date1996-09-25
dc.date1997-12-11
dc.date.accessioned2026-07-07T11:48:10Z
dc.date.available2026-07-07T11:48:10Z
dc.descriptionNon-trivial extensions of the three dimensional Poincaré algebra, beyond the supersymmetric one, are explicitly constructed. These algebraic structures are the natural three dimensional generalizations of fractional supersymmetry of order $F$ already considered in one and two dimensions. Representations of these algebras are exhibited, and unitarity is explicitly checked. It is then shown that these extensions generate symmetries which connect fractional spin states or anyons. Finally, a natural classification arises according to the decomposition of $F$ into its product of prime numbers leading to sub-systems with smaller symmetries.
dc.description17 pages, LaTex, the algebraic structure is given with more details, unitarity of the respresentation is explicitly checked, references has been added, one author has been added, to appear in Mod. Phys. Lett. A
dc.identifierhttps://arxiv.org/abs/hep-th/9609203
dc.identifierhttp://arxiv.org/abs/hep-th/9609203
dc.identifierMod.Phys.Lett.A12:3051-3066,1997
dc.identifierdoi:10.1142/S0217732397003174
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/202827
dc.subjectHigh Energy Physics - Theory
dc.titleNon-Trivial Extensions of the 3D-Poincaré Algebra and Fractional Supersymmetry for Anyons
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