Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bethe Ansatz equations for the classical $A_n^{(1)}$ affine Toda field
  theories   We establish a correspondence between classical $A_n^{(1)}$ affine Toda field
theories and $A_n$ Bethe Ansatz systems. We show that the connection
coefficients relating specific solutions of the associated classical linear
problem satisfy functional relations of the type that appear in the context of
the massive quantum integrable model.

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The categories of this paper are: cond-mat
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The categories of this paper are: q-bio
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The categories of this paper are: hep-lat
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The categories of this paper are: chao-dyn
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The categories of this paper are: adap-org
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The categories of this paper are: econ
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: solv-int
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The categories of this paper are: comp-gas
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The categories of this paper are: mtrl-th
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The categories of this paper are: chem-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: gr-qc
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The categories of this paper are: astro-ph