Admissible sl(2/1) Characters and Parafermions

M. Hayes; A. Taormina

doi:10.1016/S0550-3213(98)00522-7

Admissible sl(2/1) Characters and Parafermions

High Energy Physics - Theory 2010-12-17 v1

Authors: M. Hayes , A. Taormina

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Abstract

The branching functions of the affine superalgebra $sl(2/1)$ characters into characters of the affine subalgebra $sl(2)$ are calculated for fractional levels $k=1/u-1$ , u positive integer. They involve rational torus $A_{u(u-1)}$ and $Z_{u-1}$ parafermion characters.

Keywords

affine superalgebra sl(2/1) branching functions fractional level parafermion characters torus

Cite

@article{arxiv.hep-th/9803022,
  title  = {Admissible sl(2/1) Characters and Parafermions},
  author = {M. Hayes and A. Taormina},
  journal= {arXiv preprint arXiv:hep-th/9803022},
  year   = {2010}
}

Comments

14 pages, Latex 2e

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