Fuzzy Torus via q-Parafermion
High Energy Physics - Theory
2008-11-26 v1
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.
Cite
@article{arxiv.0705.0563,
title = {Fuzzy Torus via q-Parafermion},
author = {N. Aizawa and R. Chakrabarti},
journal= {arXiv preprint arXiv:0705.0563},
year = {2008}
}