Abstract

Supersymmetric (pseudoclassical) mechanics has recently been generalized to fractional supersymmetric mechanics. In such a construction, the action is invariant under fractional supersymmetry transformations, which are the F th roots at time translations ( with F = 1, 2,…). Associated with these symmetries, there are conserved charges with fractional canonical dimension 1+1/F. Using paragrassmann variables satisfying θF=0, we present a fractional-superspace formulation of this construction.

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