Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On interpretations and constructions of classical dynamical r-matrices   In this note we complement recent results on the exchange $r$-matrices
appearing in the chiral WZNW model by providing a direct, purely
finite-dimensional description of the relationship between the monodromy
dependent 2-form that enters the chiral WZNW symplectic form and the exchange
$r$-matrix that governs the corresponding Poisson brackets. We also develop the
special case in which the exchange $r$-matrix becomes the `canonical' solution
of the classical dynamical Yang-Baxter equation on an arbitrary self-dual Lie
algebra.

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The categories of this paper are: dg-ga
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The categories of this paper are: hep-ex
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The categories of this paper are: gr-qc
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The categories of this paper are: chem-ph
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The categories of this paper are: q-fin
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The categories of this paper are: quant-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: nucl-th
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The categories of this paper are: alg-geom
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The categories of this paper are: ao-sci
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The categories of this paper are: adap-org
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The categories of this paper are: solv-int
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The categories of this paper are: funct-an
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The categories of this paper are: nlin
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The categories of this paper are: q-bio
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The categories of this paper are: hep-lat