Anyons and Quantum Groups

Details Anyons and Quantum Groups Anyons and Quantum Groups

1993-01-25

arxiv.org/abs/hep-th/9301100v1

Nucl.Phys.B401:613-643,1993

Physics

High Energy Physics

High Energy Physics - Theory

26 pp., TeX file (figures on request), DFTT 73/92 and ITP-SB-92-73

Scientific paper

10.1016/0550-3213(93)90316-H

Anyonic oscillators with fractional statistics are built on a two-dimensional square lattice by means of a generalized Jordan-Wigner construction, and their deformed commutation relations are thoroughly discussed. Such anyonic oscillators, which are non-local objects that must not be confused with $q$-oscillators, are then combined \`a la Schwinger to construct the generators of the quantum group $SU(2)_q$ with $q=\exp({\rm i}\pi\nu)$, where $\nu$ is the anyonic statistical parameter.

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