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

TL;DR

This paper reviews the spinon basis for integrable highest weight modules of the affine Lie algebra sl2^ at levels k≥1, providing new character formulas and identities for q-dimensions, linking to prior basis proposals.

Contribution

It introduces a new spinon basis for these modules and derives novel character formulas and q-dimension identities, connecting to existing basis constructions.

Findings

New spinon basis for sl2^ modules at levels k≥1

Derived new character formulas for these modules

Established identities relating to q-dimensions

Abstract

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.