Universidade Federal de Juiz de Fora

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. Mod. Phys. Lett. A12 (1997) 1153-1164