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.
Macfarlane, Onq-analogues of the quantum harmonic oscillator and the quantum groupSU q(2), J
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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.