Group theoretical foundations of fractional supersymmetry

  title={Group theoretical foundations of fractional supersymmetry},
  author={Jos{\'e} A. de Azc{\'a}rraga and Alan J. Macfarlane},
  journal={Journal of Mathematical Physics},
Fractional supersymmetry denotes a generalization of supersymmetry which may be constructed using a single real generalized Grassmann variable, θ=θ,θn=0, for arbitrary integer n=2,3,.... An explicit formula is given in the case of general n for the transformations that leave the theory invariant, and it is shown that these transformations possess interesting group properties. It is shown also that the two generalized derivatives that enter the theory have a geometric interpretation as… 

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