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Anyonic Realization of the Quantum Affine Lie Algebras

L. Frappat·A. Sciarrino·S. Sciuto·P. Sorba
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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 $ν$ of the anyons by $q = e^{iπν}$. 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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BibTeXRIS

L. Frappat, A. Sciarrino, S. Sciuto, P. Sorba. 1996-07-18. Anyonic Realization of the Quantum Affine Lie Algebras. https://doi.org/10.1023/a%3A1021479625167

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