Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Integrability of the $D_n^2$ vertex models with open boundary   We investigate various aspects of the integrability of the vertex models
associated to the $D_n^2$ affine Lie algebra with open boundaries. We first
study the solutions of the corresponding reflection equation compatible with
the minimal symmetry of this system. We find three classes of general
solutions, one diagonal solution and two non-diagonal families with a free
parameter. Next we perform the Bethe ansatz analysis for some of the associated
open $D_2^2$ spin chains and we identify the boundary having quantum group
invariance. We also discuss a new $D_2^2$ $R$-matrix.

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The categories of this paper are: gr-qc
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The categories of this paper are: patt-sol
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The categories of this paper are: chao-dyn
33
The categories of this paper are: plasm-ph
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The categories of this paper are: stat
29
The categories of this paper are: funct-an
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The categories of this paper are: nucl-th
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The categories of this paper are: physics
32
The categories of this paper are: atom-ph
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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: mtrl-th
31
The categories of this paper are: ao-sci
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The categories of this paper are: chem-ph
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The categories of this paper are: q-fin