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Permutation Invariant Statistics, Duality and Simple Interpolations

arXiv:hep-th/9612092 · doi:10.1016/S0375-9601(96)00913-9

Abstract

General permutation invariant statistics in the second quantized approach are considered. Simple interpolations between dual statistics are constructed. Particularly, we present a new minimal interpolation between parabosons and parafermions of any order. The connection with a simple mixing between bosons and fermions is established. The construction is extended to anyonic-like statistics.

RevTeX, 19 pages, to appear in Phys. Lett. A