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Identical Particles and Quantum Symmetries

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arxiv hep-th/9508047 v3 pith:OGC6FFAN submitted 1995-08-10 hep-th math.QAq-alg

classification hep-thmath.QAq-alg
keywords groupsquantumsymmetrytransformationsbose-fermicompactcompatibilityconjugate
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We propose a solution to the problem of compatibility of Bose-Fermi statistics with symmetry transformations implemented by compact quantum groups of Drinfel'd type. We use unitary transformations to conjugate multi-particle symmetry postulates, so as to obtain a twisted realization of the symmetric groups S_n.

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  1. Bell nonlocality from twisted statistics

    quant-ph 2026-08 conditional novelty 5.0 of 10

    For a free scalar field on the Moyal plane, if the source couples to the twist-dressed field, the prepared two-particle state yields a maximal CHSH value S = 2 sqrt(1 + sin^2(chi/2)), exceeding 2 whenever the invarian...

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