A braided interpretation of fractional supersymmetry in higher dimensions

Abstract

A many variable $q$-calculus is introduced using the formalism of braided covector algebras. Its properties when certain of its deformation parameters are roots of unity are discussed in detail, and related to fractional supersymmetry. The special cases of two dimensional supersymmetry and fractional supersymmetry are developed in detail.

25 pages, LaTeX

References in corpus (2)

• Geometrical foundations of fractional supersymmetry
• Supersymmetry from a braided point of view

Cited by in corpus (4)

• The Quantum Geometry of Supersymmetry and the Generalized Group Extension Problem
• Braided Oscillators
• Fractional spin through quantum affine algebras with vanishing central charge
• Quantum Group Covariance and the Braided Structure of Deformed Oscillators