Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An Algebraic Setting for Defects in the XXZ and Sine-Gordon Models   We construct defects in the XXZ and sine-Gordon models by making use of the
representation theory of quantum affine sl_2. The representations involved are
generalisations of the infinite-dimensional, q-oscillator representations used
in the construction of Q-operators. We present new results for intertwiners of
these representations, and use them to consider both quantum spin-chain
Hamiltonians with defects and quantum defects in the sine-Gordon model. We
connect specialisations our results with the work of Corrigan and Zambon on
type I and type II defects, and present sine-Gordon soliton/defect and
candidate defect/defect scattering matrices.

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The categories of this paper are: bayes-an
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The categories of this paper are: hep-ex
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The categories of this paper are: ao-sci
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The categories of this paper are: eess
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The categories of this paper are: quant-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: supr-con
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The categories of this paper are: astro-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: gr-qc
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The categories of this paper are: cs
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-lat
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The categories of this paper are: cmp-lg
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The categories of this paper are: stat
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The categories of this paper are: adap-org