An algebraic second-quantization for 1D Abelian anyons with phase θ=π/N is constructed, together with an exact Jordan-Wigner duality that maps π/3 anyons onto spin-1 operators.
Zagier, Realizability of a model in infinite statis- tics, Communications in Mathematical Physics147, 199 (1992)
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Second quantization of anyons and spin-anyon duality
An algebraic second-quantization for 1D Abelian anyons with phase θ=π/N is constructed, together with an exact Jordan-Wigner duality that maps π/3 anyons onto spin-1 operators.