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Local Fractional Supersymmetry for Alternative Statistics
release_xrn4he3jzbfyjlel2pttint2wm
by
N. Fleury, M. Rausch de Traubenberg
Released
as a article
.
1995
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 i.e. a fractional supergravity which is then quantized 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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