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arXiv · hep-th/9510108

Local Fractional Supersymmetry for Alternative Statistics

N. Fleury·M. Rausch de Traubenberg
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Abstract

A group theory justification of one dimensional fractional supersymmetry is proposed using an analogue of a coset space, just like the one introduced in $1D$ supersymmetry. This theory is then gauged to obtain a local fractional supersymmetry {\it i.e.} a fractional supergravity which is then quantized {\it à 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.

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N. Fleury, M. Rausch de Traubenberg. 1995-10-16. Local Fractional Supersymmetry for Alternative Statistics. https://doi.org/10.1142/s0217732396000916

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