Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Global Universality of Macdonald Plane Partitions   We study scaling limits of periodically weighted skew plane partitions with
semilocal interactions and general boundary conditions. The semilocal
interactions correspond to the Macdonald symmetric functions which are
$(q,t)$-deformations of the Schur symmetric functions. We show that the height
functions converge to a deterministic limit shape and that the global
fluctuations are given by the $2$-dimensional Gaussian free field as $q,t\to 1$
and the mesh size goes to $0$. Specializing to the noninteracting case, this
verifies the Kenyon-Okounkov conjecture for the case of the
$r^{\mathrm{volume}}$ measure under general boundary conditions. Our approach
uses difference operators on Macdonald processes.

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The categories of this paper are: physics
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The categories of this paper are: hep-lat
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The categories of this paper are: patt-sol
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The categories of this paper are: gr-qc
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The categories of this paper are: nucl-th
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The categories of this paper are: ao-sci
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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: plasm-ph
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The categories of this paper are: q-fin
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The categories of this paper are: mtrl-th
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The categories of this paper are: funct-an
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The categories of this paper are: adap-org
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The categories of this paper are: supr-con
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The categories of this paper are: comp-gas
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The categories of this paper are: nlin