Algebra of non-local charges in the O(N) WZNW model at and beyond criticality
Abstract
We derive the classical algebra of the non-local conserved charges in the O(N) WZNW model and analyze its dependence on the coupling constant of the Wess-Zumino term. As in the non-linear sigma model, we find cubic deformations of the O(N) affine algebra. The surprising result is that the cubic algebra of the WZNW non-local charges does not obey the Jacobi identity, thus opposing our expectations from the known Yangian symmetry of this model.
- Publication:
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arXiv e-prints
- Pub Date:
- July 1997
- DOI:
- 10.48550/arXiv.solv-int/9707013
- arXiv:
- arXiv:solv-int/9707013
- Bibcode:
- 1997solv.int..7013S
- Keywords:
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- Nonlinear Sciences - Exactly Solvable and Integrable Systems;
- High Energy Physics - Theory
- E-Print:
- 10 pages, LaTeX, no figures