Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Discrete holomorphicity and integrability in loop models with open
  boundaries   We consider boundary conditions compatible with discrete holomorphicity for
the dilute O(n) and C_2^(1) loop models. In each model, for a general set of
boundary plaquettes, multiple types of loops can appear. A generalisation of
Smirnov's parafermionic observable is therefore required in order to maintain
the discrete holomorphicity property in the bulk. We show that there exist
natural boundary conditions for this observable which are consistent with
integrability, that is to say that, by imposing certain boundary conditions, we
obtain a set of linear equations whose solutions also satisfy the corresponding
reflection equation. In both loop models, several new sets of integrable
weights are found using this approach.

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The categories of this paper are: comp-gas
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The categories of this paper are: stat
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The categories of this paper are: q-alg
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The categories of this paper are: alg-geom
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The categories of this paper are: chao-dyn
10
The categories of this paper are: q-bio
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The categories of this paper are: dg-ga
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The categories of this paper are: gr-qc
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The categories of this paper are: bayes-an
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The categories of this paper are: atom-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: supr-con
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The categories of this paper are: nlin
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The categories of this paper are: eess
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The categories of this paper are: q-fin