Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Anyonic Realization of the Quantum Affine Lie Algebra U_q(A_N)   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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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-ph
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The categories of this paper are: econ
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The categories of this paper are: dg-ga
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The categories of this paper are: atom-ph
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The categories of this paper are: math-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: solv-int
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The categories of this paper are: ao-sci
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The categories of this paper are: gr-qc
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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-lat
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The categories of this paper are: cond-mat
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The categories of this paper are: comp-gas
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The categories of this paper are: quant-ph
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The categories of this paper are: chem-ph