Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Positivity and periodicity of $Q$-systems in the WZW fusion ring   We study properties of solutions of $Q$-systems in the WZW fusion ring
obtained by the Kirillov-Reshetikhin modules. We make a conjecture about their
positivity and periodicity and give a proof of it in some cases. We also
construct a positive solution of the level $k$ restricted $Q$-system of
classical types in the fusion rings. As an application, we prove some
conjectures of Kirillov and Kuniba-Nakanishi-Suzuki on the level $k$ restricted
$Q$-systems.

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The categories of this paper are: atom-ph
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The categories of this paper are: supr-con
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The categories of this paper are: gr-qc
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-fin
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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: mtrl-th
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The categories of this paper are: bayes-an
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The categories of this paper are: eess
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The categories of this paper are: hep-ph
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The categories of this paper are: q-alg
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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: physics
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The categories of this paper are: math-ph