Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Punctured plane partitions and the q-deformed Knizhnik--Zamolodchikov
  and Hirota equations   We consider partial sum rules for the homogeneous limit of the solution of
the q-deformed Knizhnik--Zamolodchikov equation with reflecting boundaries in
the Dyck path representation. We show that these partial sums arise in a
solution of the discrete Hirota equation, and prove that they are the
generating functions of $\tau^2$-weighted punctured cyclically symmetric
transpose complement plane partitions where $\tau=-(q+q^{-1})$. In the cases of
no or minimal punctures, we prove that these generating functions coincide with
$\tau^2$-enumerations of vertically symmetric alternating sign matrices and
modifications thereof.

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The categories of this paper are: hep-ex
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The categories of this paper are: dg-ga
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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: nucl-th
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The categories of this paper are: alg-geom
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The categories of this paper are: quant-ph
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The categories of this paper are: solv-int
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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: supr-con
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The categories of this paper are: q-bio
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The categories of this paper are: comp-gas
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The categories of this paper are: acc-phys
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The categories of this paper are: astro-ph
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The categories of this paper are: nlin