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

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

1995-04-14

arxiv.org/abs/hep-th/9504074v1

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, plain TeX + amssym.def, to appear in the proceedings of `Statistical Mechanics and Quantum Field Theory,' USC, May 16

Scientific paper

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.

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