SPINON BASIS FOR (sl2)k INTEGRABLE HIGHEST WEIGHT MODULES AND NEW CHARACTER FORMULAS
Peter Bouwknegt, Andreas W. W. Ludwig, Kareljan Schoutens
Abstract
In this note we review the spinon basis for the integrable highest weight modules of sl2 at levels k≥1, and give the corresponding character formula. We show that our spinon basis is intimately related to the basis proposed by Foda et al. in the principal gradation of the algebra. This gives rise to new identities for the q-dimensions of the integrable modules.
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