R-deformed Heisenberg algebra, anyons and d=2+1 supersymmetry

Details R-deformed Heisenberg algebra, anyons and d=2+1 supersymmetry R-deformed Heisenberg algebra, anyons and d=2+1 supersymmetry

1997-05-06

arxiv.org/abs/hep-th/9705034v2

Mod.Phys.Lett.A12:1153-1164,1997

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, LaTeX

Scientific paper

10.1142/S0217732397001187

A universal minimal spinor set of linear differential equations describing anyons and ordinary integer and half-integer spin fields is constructed with the help of deformed Heisenberg algebra with reflection. The construction is generalized to some d=2+1 supersymmetric field systems. Quadratic and linear forms of action functionals are found for the universal minimal as well as for supersymmetric spinor sets of equations. A possibility of constructing a universal classical mechanical model for d=2+1 spin systems is discussed.

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