Deformed Heisenberg Algebra with Reflection, Anyons and Supersymmetry of Parabosons

Abstract

Deformed Heisenberg algebra with reflection appeared in the context of Wigner's generalized quantization schemes underlying the concept of parafields and parastatistics of Green, Volkov, Greenberg and Messiah. We review the application of this algebra for the universal description of ordinary spin-$j$ and anyon fields in 2+1 dimensions, and discuss the intimate relation between parastatistics and supersymmetry.

Comments: 4 pages. Talk given at the Int. Conf. ``Spin-Statistics Connection and Commutation Relations", Anacapri, Capri Island, Italy -- May 31-June 3, 2000 (to appear in Proceedings)