Admissible sl(2/1) Characters and Parafermions

preprint1998arXivOpen access

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.

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Admissible sl(2/1) Characters and Parafermions

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