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arXiv · hep-th/9705034

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

Mikhail Plyushchay
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Abstract

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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Mikhail Plyushchay. 1997-06-19. R-deformed Heisenberg algebra, anyons and d=2+1 supersymmetry. https://doi.org/10.1142/s0217732397001187

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