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Identical Particles and Quantum Symmetries
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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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Bell nonlocality from twisted statistics
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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