Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Algebraic extensions of Gaudin models   We perform a In\"on\"u--Wigner contraction on Gaudin models, showing how the
integrability property is preserved by this algebraic procedure. Starting from
Gaudin models we obtain new integrable chains, that we call Lagrange chains,
associated to the same linear $r$-matrix structure. We give a general
construction involving rational, trigonometric and elliptic solutions of the
classical Yang-Baxter equation. Two particular examples are explicitly
considered: the rational Lagrange chain and the trigonometric one. In both
cases local variables of the models are the generators of the direct sum of $N$
$\mathfrak{e}(3)$ interacting tops.

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The categories of this paper are: comp-gas
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The categories of this paper are: quant-ph
3
The categories of this paper are: physics
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The categories of this paper are: nucl-ex
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The categories of this paper are: dg-ga
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The categories of this paper are: q-bio
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The categories of this paper are: q-alg
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The categories of this paper are: hep-lat
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The categories of this paper are: hep-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: astro-ph
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The categories of this paper are: stat
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-th
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The categories of this paper are: cmp-lg
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The categories of this paper are: alg-geom