Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum inverse scattering method and generalizations of symplectic
  Schur functions and Whittaker functions   We introduce generalizations of type $C$ and $B$ ice models which were
recently introduced by Ivanov and Brubaker-Bump-Chinta-Gunnells, and study in
detail the partition functions of the models by using the quantum inverse
scattering method. We compute the explicit forms of the wavefunctions and their
duals by using the Izergin-Korepin technique, which can be applied to both
models. For type $C$ ice, we show the wavefunctions are expressed using
generalizations of the symplectic Schur functions. This gives a generalization
of the correspondence by Ivanov. For type $B$ ice, we prove that the exact
expressions of the wavefunctions are given by generalizations of the Whittaker
functions introduced by Bump-Friedberg-Hoffstein. The special case is the
correspondence conjectured by Brubaker-Bump-Chinta-Gunnells. We also show the
factorized forms for the domain wall boundary partition functions for both
models. As a consequence of the studies of the partition functions, we obtain
dual Cauchy formulas for the generalized symplectic Schur functions and the
generalized Whittaker functions.

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The categories of this paper are: atom-ph
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The categories of this paper are: nucl-ex
7
The categories of this paper are: hep-th
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The categories of this paper are: nucl-th
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The categories of this paper are: quant-ph
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The categories of this paper are: ao-sci
20
The categories of this paper are: acc-phys
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The categories of this paper are: mtrl-th
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The categories of this paper are: alg-geom
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The categories of this paper are: dg-ga
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The categories of this paper are: patt-sol
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The categories of this paper are: chem-ph
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The categories of this paper are: q-bio
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The categories of this paper are: hep-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: plasm-ph