Algebra of nonlocal charges in the O(N) WZNW model at and beyond criticality
Abstract
We derive the classical algebra of the nonlocal conserved charges in the O(N) WZNW model and analyze its dependence on the coupling constant of the WessZumino term. As in the nonlinear sigma model, we find cubic deformations of the O(N) affine algebra. The surprising result is that the cubic algebra of the WZNW nonlocal charges does not obey the Jacobi identity, thus opposing our expectations from the known Yangian symmetry of this model.
 Publication:

arXiv eprints
 Pub Date:
 July 1997
 DOI:
 10.48550/arXiv.solvint/9707013
 arXiv:
 arXiv:solvint/9707013
 Bibcode:
 1997solv.int..7013S
 Keywords:

 Nonlinear Sciences  Exactly Solvable and Integrable Systems;
 High Energy Physics  Theory
 EPrint:
 10 pages, LaTeX, no figures