Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quasi-Exactly Solvable Deformations of Gaudin Models and ``Quasi-Gaudin
  Algebras''   A new class of completely integrable models is constructed. These models are
deformations of the famous integrable and exactly solvable Gaudin models. In
contrast with the latter, they are quasi-exactly solvable, i.e. admit the
algebraic Bethe ansatz solution only for some limited parts of the spectrum. An
underlying algebra responsible for both the phenomena of complete integrability
and quasi-exact solvability is constructed. We call it "quasi-Gaudin algebra"
and demonstrate that it is a special non-Lie-algebraic deformation of the
ordinary Gaudin algebra.

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The categories of this paper are: alg-geom
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-lat
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The categories of this paper are: astro-ph
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The categories of this paper are: math-ph
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The categories of this paper are: adap-org
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The categories of this paper are: hep-ph
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The categories of this paper are: chem-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: acc-phys
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The categories of this paper are: funct-an
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The categories of this paper are: patt-sol
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The categories of this paper are: cs
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The categories of this paper are: plasm-ph
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The categories of this paper are: ao-sci