Deformed Heisenberg Algebra with Reflection, Anyons and Supersymmetry of Parabosons

Physics – High Energy Physics – High Energy Physics - Theory

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4 pages. Talk given at the Int. Conf. ``Spin-Statistics Connection and Commutation Relations", Anacapri, Capri Island, Italy -

Scientific paper

10.1063/1.1337729

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.

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