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Projective Statistics and Spinors in Hilbert Space | | Frank Wilczek
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29 Jun 1998 | | Subject: | hep-th cond-mat | | Abstract: | In quantum mechanics, symmetry groups can be realized by projective, as well as by ordinary unitary, representations. For the permutation symmetry relevant to quantum statistics of N indistinguishable particles, the simplest properly projective representation is highly non-trivial, of dimension $2^{(N-1)/2}$, and is most easily realized starting with spinor geometry. Quasiparticles in the Pfaffian quantum Hall state realize this representation. Projective statistics is a consistent theoretical possibility in any dimension. | | Source: | arXiv, hep-th/9806228 | | Services: | Forum | Review | PDF | Favorites | |
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