English

Canonical approach to the WZNW model

High Energy Physics - Theory 2014-10-29 v2 Mathematical Physics math.MP

Abstract

The chiral Wess-Zumino-Novikov-Witten (WZNW) model provides the simplest class of rational conformal field theories which exhibit a non-abelian braid-group statistics and an associated "quantum symmetry". The canonical derivation of the Poisson-Lie symmetry of the classical chiral WZNW theory (originally studied by Faddeev, Alekseev, Shatashvili and Gawedzki, among others) is reviewed along with subsequent work on a covariant quantization of the theory which displays its quantum group symmetry.

Keywords

Cite

@article{arxiv.1410.7228,
  title  = {Canonical approach to the WZNW model},
  author = {Paolo Furlan and Ludmil Hadjiivanov and Ivan Todorov},
  journal= {arXiv preprint arXiv:1410.7228},
  year   = {2014}
}

Comments

162 pages, 1 figure (v2: just reformatted for better readability)