dorsal/arxiv
View SchemaAlgebra of non-local charges in the O(N) WZNW model at and beyond criticality
| Authors | L. E. Saltini, A. Zadra |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9707013 |
| URL | https://arxiv.org/abs/solv-int/9707013 |
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.
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"abstract": "We derive the classical algebra of the non-local conserved charges in the\nO(N) WZNW model and analyze its dependence on the coupling constant of the\nWess-Zumino term. As in the non-linear sigma model, we find cubic deformations\nof the O(N) affine algebra. The surprising result is that the cubic algebra of\nthe WZNW non-local charges does not obey the Jacobi identity, thus opposing our\nexpectations from the known Yangian symmetry of this model.",
"arxiv_id": "solv-int/9707013",
"authors": [
"L. E. Saltini",
"A. Zadra"
],
"categories": [
"solv-int",
"hep-th",
"nlin.SI"
],
"title": "Algebra of non-local charges in the O(N) WZNW model at and beyond criticality",
"url": "https://arxiv.org/abs/solv-int/9707013"
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