Fuzzy Torus via q-Parafermion
arXiv:0705.0563 · doi:10.1088/1751-8113/40/33/007
Abstract
We note that the recently introduced fuzzy torus can be regarded as a q-deformed parafermion. Based on this picture, classification of the Hermitian representations of the fuzzy torus is carried out. The result involves Fock-type representations and new finite dimensional representations for q being a root of unity as well as already known finite dimensional ones.
12pages, no figure
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