Anyonic Realization of the Quantum Affine Lie Algebras

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dc.creatorFrappat, L.
dc.creatorSciarrino, A.
dc.creatorSciuto, S.
dc.creatorSorba, P.
dc.date1996-07-18
dc.date.accessioned2026-07-07T11:36:45Z
dc.date.available2026-07-07T11:36:45Z
dc.descriptionWe 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.
dc.description8p, LaTeX, subeqn.sty. Also available at http://lapphp0.in2p3.fr/preplapp/psth/anyon_ac.ps.gz
dc.identifierhttps://arxiv.org/abs/q-alg/9607023
dc.identifierhttp://arxiv.org/abs/q-alg/9607023
dc.identifierCzech.J.Phys.47:5-12,1997
dc.identifierdoi:10.1023/A:1021479625167
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/199030
dc.subjectQuantum Algebra
dc.subjectHigh Energy Physics - Theory
dc.titleAnyonic Realization of the Quantum Affine Lie Algebras
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