Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Classical impurities associated to high rank algebras   Classical integrable impurities associated to high rank (gl_N) algebras are
investigated. A particular prototype i.e. the vector non-linear Schr\"{o}dinger
(NLS) model is chosen as an example. A systematic construction of local
integrals of motion as well as the time components of the corresponding Lax
pairs is presented based on the underlying classical algebra. Suitable gluing
conditions compatible with integrability are also extracted. The defect
contribution is also examined in the case where non-trivial integrable
conditions are implemented. It turns out that the integrable boundaries may
drastically alter the bulk behavior, and in particular the defect contribution.

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The categories of this paper are: acc-phys
32
The categories of this paper are: atom-ph
25
The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph
33
The categories of this paper are: plasm-ph
4
The categories of this paper are: cond-mat
16
The categories of this paper are: stat
27
The categories of this paper are: comp-gas
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The categories of this paper are: solv-int
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The categories of this paper are: dg-ga
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The categories of this paper are: cs
22
The categories of this paper are: chao-dyn
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The categories of this paper are: nucl-ex
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The categories of this paper are: physics
31
The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th