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arXiv · hep-th/0108063

Parafermionic quasi-particle basis and fermionic-type characters

P. Jacob·P. Mathieu
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Abstract

A new basis of states for highest-weight modules in $\ZZ_k$ parafermionic conformal theories is displayed. It is formulated in terms of an effective exclusion principle constraining strings of $k$ fundamental parafermionic modes. The states of a module are then built by a simple filling process, with no singular-vector subtractions. That results in fermionic-sum representations of the characters, which are exactly the Lepowsky-Primc expressions. We also stress that the underlying combinatorics -- which is the one pertaining to the Andrews-Gordon identities -- has a remarkably natural parafermionic interpretation.

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P. Jacob, P. Mathieu. 2001-10-23. Parafermionic quasi-particle basis and fermionic-type characters. https://doi.org/10.1016/s0550-3213(01)00548-x

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