Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: $q$-Virasoro modular triple   Inspired by 5d supersymmetric Yang-Mills theories placed on the compact space
$\mathbb{S}^5$, we propose an intriguing algebraic construction for the
$q$-Virasoro algebra. We show that, when multiple $q$-Virasoro "chiral" sectors
have to be fused together, a natural $\mathrm{SL}(3,\mathbb{Z})$ structure
arises. This construction, which we call the modular triple, is consistent with
the observed triple factorization properties of supersymmetric partition
functions derived from localization arguments. We also give a 2d CFT-like
construction of the modular triple, and conjecture for the first time a
(non-local) Lagrangian formulation for a $q$-Virasoro model, resembling
ordinary Liouville theory.

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The categories of this paper are: astro-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: adap-org
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The categories of this paper are: comp-gas
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The categories of this paper are: hep-lat
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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: q-alg
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The categories of this paper are: mtrl-th
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The categories of this paper are: q-bio
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The categories of this paper are: eess
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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: cond-mat
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The categories of this paper are: solv-int
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The categories of this paper are: dg-ga