Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Assembling integrable sigma-models as affine Gaudin models   We explain how to obtain new classical integrable field theories by
assembling two affine Gaudin models into a single one. We show that the
resulting affine Gaudin model depends on a parameter $\gamma$ in such a way
that the limit $\gamma \to 0$ corresponds to the decoupling limit. Simple
conditions ensuring Lorentz invariance are also presented. A first application
of this method for $\sigma$-models leads to the action announced in [Phys. Rev.
Lett. 122 (2019) 041601] and which couples an arbitrary number $N$ of principal
chiral model fields on the same Lie group, each with a Wess-Zumino term. The
affine Gaudin model descriptions of various integrable $\sigma$-models that can
be used as elementary building blocks in the assembling construction are then
given. This is in particular used in a second application of the method which
consists in assembling $N-1$ copies of the principal chiral model each with a
Wess-Zumino term and one homogeneous Yang-Baxter deformation of the principal
chiral model.

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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: math-ph
4
The categories of this paper are: cond-mat
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The categories of this paper are: mtrl-th
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The categories of this paper are: q-fin
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-ex
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The categories of this paper are: q-alg
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The categories of this paper are: eess
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The categories of this paper are: bayes-an
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The categories of this paper are: gr-qc
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The categories of this paper are: ao-sci
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The categories of this paper are: stat
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The categories of this paper are: cmp-lg
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The categories of this paper are: plasm-ph