Fuzzy torus viaq-Parafermion

DOI10.1088/1751-8113/40/33/007zbMATH Open1121.81077arXiv0705.0563OpenAlexW2062632086MaRDI QIDQ5757653

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Publication date: 7 September 2007

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

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.

Full work available at URL: https://arxiv.org/abs/0705.0563

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Noncommutative geometry in quantum theory (81R60) Commutation relations and statistics as related to quantum mechanics (general) (81S05)

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