English

Spinon basis for higher level SU(2) WZW models

High Energy Physics - Theory 2009-10-28 v2

Abstract

We propose a spinon basis for the integrable highest weight modules of \hsltw\hsltw at levels k1k\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 SS-matrix results. We briefly discuss generalizations to other groups and more general conformal field theories.

Keywords

Cite

@article{arxiv.hep-th/9412108,
  title  = {Spinon basis for higher level SU(2) WZW models},
  author = {Peter Bouwknegt and Andreas Ludwig and Kareljan Schoutens},
  journal= {arXiv preprint arXiv:hep-th/9412108},
  year   = {2009}
}

Comments

10 pages, plain TeX (with AMS-fonts option). Introduction expanded, evidence for proposed spinon basis further clarified and some references added

R2 v1 2026-07-22T15:52:54.298Z