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arxiv: 0812.5097 · v3 · pith:QGNXQDPRnew · submitted 2008-12-30 · ✦ hep-th · cond-mat.str-el· quant-ph

New Kinds of Quantum Statistics

classification ✦ hep-th cond-mat.str-elquant-ph
keywords nonabelianpossibilitiesquantumstatisticsabelianadvertisealludeanyons
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I review the quantum kinematics of identical particles, which suggests new possibilities, beyond bosons and fermions, in 2+1 dimensions; and how simple flux-charge constructions embody the new possibilities, leading to both abelian and nonabelian anyons. I briefly allude to experimental realizations, and also advertise a spinor construction of nonabelian statistics, that has a 3+1 dimensional extension.

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