Spinon basis for higher level SU(2) WZW models

TL;DR

This paper introduces a spinon basis for higher level SU(2) WZW models, revealing new quasi-particle character formulas and underlying Yangian symmetry, with potential generalizations to other groups and conformal theories.

Contribution

It develops a novel spinon basis for integrable modules of tw, elucidates their Yangian symmetry, and derives new character expressions highlighting RSOS and Yangian structures.

Findings

New spinon basis for tw modules

Explicit character formulas with RSOS and Yangian parts

Discussion of generalizations to other groups and theories

Abstract

We propose a spinon basis for the integrable highest weight modules of $\hsltw$ at levels $k\geq1$, and discuss the underlying Yangian symmetry. Evaluating the characters in this spinon basis provides new quasi-particle type expressions for the characters of these integrable modules, and explicitly exhibits the structure of an RSOS times a Yangian part, known \eg from $S$-matrix results. We briefly discuss generalizations to other groups and more general conformal field theories.