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A topological spin-statistics theorem or a use of the antiparticle

A topological spin-statistics theorem or a use of the antiparticle

A spin-statistics theorem for spinning particles in d is proved without using relativity or field theory, but assuming the existence of antiparticles. The theorem excludes nonabelian statistics such as parastatistics of order 2 and more for d ⩾ 3 and statistics based on nonabelian representations of the braid groups for …