Anyonic Realization of the Quantum Affine Lie Algebra U_q(A_N)

Details Anyonic Realization of the Quantum Affine Lie Algebra U_q(A_N) Anyonic Realization of the Quantum Affine Lie Algebra U_q(A_N)

1995-11-02

arxiv.org/abs/hep-th/9511013v1

Phys.Lett.B369:313-324,1996

Physics

High Energy Physics

High Energy Physics - Theory

13p LaTeX Document (should be run twice)

Scientific paper

10.1016/0370-2693(95)01518-3

We give a realization of quantum affine Lie algebra $U_q(\hat A_{N-1})$ in
terms of anyons defined 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 algebra.

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