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arXiv · 0705.0563

Fuzzy Torus via q-Parafermion

N. Aizawa·R. Chakrabarti
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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.

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N. Aizawa, R. Chakrabarti. 2007-05-04. Fuzzy Torus via q-Parafermion. https://doi.org/10.1088/1751-8113%2F40%2F33%2F007

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