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23 February 2024
 
  » arxiv » hep-th/9806228

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Projective Statistics and Spinors in Hilbert Space
Frank Wilczek ;
Date 29 Jun 1998
Subject hep-th cond-mat
AbstractIn 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
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