dorsal/arxiv
View SchemaAnyonic Realization of the Quantum Affine Lie Algebras
| Authors | L. Frappat, A. Sciarrino, S. Sciuto, P. Sorba |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9607023 |
| URL | https://arxiv.org/abs/q-alg/9607023 |
| DOI | 10.1023/A:1021479625167 |
| Journal | Czech.J.Phys.47:5-12,1997 |
Abstract
We give a realization of the quantum affine Lie algebras $\uqa$ and $\uqc$ in terms of anyons defined on a one-dimensional chain (or on a two-dimensional lattice), the deformation parameter $q$ being related to the statistical parameter $\nu$ of the anyons by $q = e^{i\pi\nu}$. In the limit of the deformation parameter going to one we recover the Feingold-Frenkel fermionic construction of undeformed affine Lie algebras.
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"abstract": "We give a realization of the quantum affine Lie algebras $\\uqa$ and $\\uqc$ in\nterms of anyons defined on a one-dimensional chain (or on a two-dimensional\nlattice), the deformation parameter $q$ being related to the statistical\nparameter $\\nu$ of the anyons by $q = e^{i\\pi\\nu}$. In the limit of the\ndeformation parameter going to one we recover the Feingold-Frenkel fermionic\nconstruction of undeformed affine Lie algebras.",
"arxiv_id": "q-alg/9607023",
"authors": [
"L. Frappat",
"A. Sciarrino",
"S. Sciuto",
"P. Sorba"
],
"categories": [
"q-alg",
"hep-th",
"math.QA"
],
"doi": "10.1023/A:1021479625167",
"journal_ref": "Czech.J.Phys.47:5-12,1997",
"title": "Anyonic Realization of the Quantum Affine Lie Algebras",
"url": "https://arxiv.org/abs/q-alg/9607023"
},
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