Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A construction of some ideals in affine vertex algebras   Let $N_{k} (\g)$ be a vertex operator algebra (VOA) associated to the
generalized Verma module for affine Lie algebra of type $A_{\ell -1} ^{(1)}$ or
$C_{\ell} ^{(1)}$. We construct a family of ideals $J_{m,n} (\g)$ in $N_{k}
(\g)$, and a family $V_{m,n} (\g)$ of quotient VOAs. These families include
VOAs associated to the integrable representations, and VOAs associated to
admissible representations at half-integer levels investigated in
q-alg/9502015. We also explicitly identify the Zhu's algebras $A(V_{m,n} (\g))$
and find a connection between these Zhu's algebras and Weyl algebras.

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The categories of this paper are: atom-ph
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The categories of this paper are: q-fin
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-th
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The categories of this paper are: eess
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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
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The categories of this paper are: chem-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: cs
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The categories of this paper are: quant-ph
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The categories of this paper are: q-bio
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The categories of this paper are: nucl-th
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The categories of this paper are: solv-int
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The categories of this paper are: mtrl-th