Fuzzy Torus via q-Parafermion

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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12pages, no figure

Scientific paper

10.1088/1751-8113/40/33/007

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.

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