48 citations · 92 across the 6 of their papers we have counts for
6 papers
Intrinsic anyonic spin through deformed geometry
R. S. Dunne
The properties of the deformed bosonic oscillator, and the quantum groups and in the limit as their deformation parameter goes to a root of unity…
A braided interpretation of fractional supersymmetry in higher dimensions
R. S. Dunne
A many variable -calculus is introduced using the formalism of braided covector algebras. Its properties when certain of its deformation parameters are roots of unity are discus…
Geometrical foundations of fractional supersymmetry
R. S. Dunne, A. J. Macfarlane, J. A. de Azcárraga +1
A deformed -calculus is developed on the basis of an algebraic structure involving graded brackets. A number operator and left and right shift operators are constructed for this…
The -calculus for generic and a root of unity
R. S. Dunne, A. J. Macfarlane, J. A. de Azcárraga +1
The -calculus for generic is developed and related to the deformed oscillator of parameter . By passing with care to the limit in which is a root of unity, one…
Braided structure of fractional -supersymmetry
J. A. de Azcárraga, R. S. Dunne, A. J. Macfarlane +1
It is shown that fractional -superspace is isomorphic to the limit of the braided line. -supersymmetry is identified as translational invariance along t…
Supersymmetry from a braided point of view
R. S. Dunne, A. J. Macfarlane, J. A. de Azcárraga +1
We show that one-dimensional superspace is isomorphic to a non-trivial but consistent limit as of the braided line. Supersymmetry is identified as translational invariance…