Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: RG flow of integrable $\mathcal{E}$-models   We compute the one- and two-loop RG flow of integrable $\sigma$-models with
Poisson-Lie symmetry. They are characterised by a twist function with $2N$
simple poles/zeros and a double pole at infinity. Hence, they capture many of
the known integrable deformations in a unified framework, which has a geometric
interpretation in terms of surface defects in a 4D Chern-Simons theory. We find
that these models are one-loop renormalisable and present a very simple
expression for the flow of the twist function. At two loops only models with
$N$=1 are renormalisable. Applied to the $\lambda$-deformation on a semisimple
group manifold, our results reproduce the $\beta$-functions in the literature.

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The categories of this paper are: atom-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: bayes-an
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The categories of this paper are: solv-int
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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: acc-phys
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The categories of this paper are: quant-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: adap-org
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The categories of this paper are: math
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The categories of this paper are: q-fin
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-ph
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The categories of this paper are: physics
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The categories of this paper are: chem-ph