2,526 research outputs found
Local Fractional Supersymmetry for Alternative Statistics
A group theory justification of one dimensional fractional supersymmetry is
proposed using an analogue of a coset space, just like the one introduced in
supersymmetry. This theory is then gauged to obtain a local fractional
supersymmetry {\it i.e.} a fractional supergravity which is then quantized {\it
\`a la Dirac} to obtain an equation of motion for a particle which is in a
representation of the braid group and should describe alternative statistics. A
formulation invariant under general reparametrization is given, by means of a
curved fractional superline.Comment: 15 pages, latex, no figur
Fractional Supersymmetry and Fth-Roots of Representations
A generalization of super-Lie algebras is presented. It is then shown that
all known examples of fractional supersymmetry can be understood in this
formulation. However, the incorporation of three dimensional fractional
supersymmetry in this framework needs some care. The proposed solutions lead
naturally to a formulation of a fractional supersymmetry starting from any
representation D of any Lie algebra g. This involves taking the Fth-roots of D
in an appropriate sense. A fractional supersymmetry in any space-time dimension
is then possible. This formalism finally leads to an infinite dimensional
extension of g, reducing to the centerless Virasoro algebra when g=sl(2,R).Comment: 23 pages, 1 figure, LaTex file with epsf.st
Engagement de groupe, transformation des représentations sociales et modifications comportementales
Dans cette recherche, on s\u27intéresse à la modification d\u27une représentation sociale et à l\u27émission d\u27un comportement. Dans une première condition, les groupes sont composés de personnes « familières », dans la seconde condition, elles ne se connaissent pas. De plus, chaque groupe est divisé en deux sous-groupes, selon qu\u27il y a ou non signature d\u27un document. Il est, ensuite, demandé, aux étudiants, de participer à la mise en place d\u27une campagne de promotion et de valorisation des études. Les résultats montrent des modifications importantes, au niveau des éléments de la représentation sociale, ainsi qu\u27une acceptation plus importante du comportement demandé par l\u27expérimentateur, pour les sujets engagés et familiers. (French
On the Representation Theory of Orthofermions and Orthosupersymmetric Realization of Parasupersymmetry and Fractional Supersymmetry
We construct a canonical irreducible representation for the orthofermion
algebra of arbitrary order, and show that every representation decomposes into
irreducible representations that are isomorphic to either the canonical
representation or the trivial representation. We use these results to show that
every orthosupersymmetric system of order has a parasupersymmetry of order
and a fractional supersymmetry of order .Comment: 13 pages, to appear in J. Phys. A: Math. Ge
A model of gravitation with global U(1)-symmetry
It is shown that an embedding of the general relativity space into a flat
space gives a model of gravitation with the global symmetry and the
discrete one. The last one may be transformed into the symmetry
of the unified model, and the demand of independence of and
transformations leads to the estimate where
is an analog of the Weinberg angle of the standard model.Comment: 7 page
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