SPINON BASIS FOR (sl2^)_k INTEGRABLE HIGHEST WEIGHT MODULES AND NEW CHARACTER FORMULAS

Bouwknegt, Peter; Ludwig, Andreas W. W.; Schoutens, Kareljan

SPINON BASIS FOR (sl2^)_k INTEGRABLE HIGHEST WEIGHT MODULES AND NEW CHARACTER FORMULAS

Authors

Bouwknegt, Peter

Ludwig, Andreas W. W.

Schoutens, Kareljan

Description

In this note we review the spinon basis for the integrable highest weight modules of sl2^ at levels k\geq1, 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.
9 pages, plain TeX + amssym.def, to appear in the proceedings of `Statistical Mechanics and Quantum Field Theory,' USC, May 16-21, 1994