Local Fractional Supersymmetry for Alternative Statistics

Details Local Fractional Supersymmetry for Alternative Statistics Local Fractional Supersymmetry for Alternative Statistics

1995-10-16

arxiv.org/abs/hep-th/9510108v1

Mod.Phys.Lett.A11:899-914,1996

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, latex, no figure

Scientific paper

10.1142/S0217732396000916

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 \`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.

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