Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Classification of screening systems for lattice vertex operator algebras   We study and classify systems of certain screening operators arising in a
generalized vertex operator algebra, or more generally an abelian intertwining
algebra with an associated vertex operator (super)algebra. Screening pairs
arising from weight one primary vectors acting commutatively on a lattice
vertex operator algebra (the vacuum module) are classified into four general
types, one type of which has been shown to play an important role in the
construction and study of certain important families of $\mathcal{W}$-vertex
algebras. These types of screening pairs we go on to study in detail through
the notion of a system of screeners, which are lattice elements or `screening
momenta' which give rise to screening pairs. We classify screening systems for
all positive definite integral lattices of rank two, and for all positive
definite even lattices of arbitrary rank when these lattices are generated by a
screening system.

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The categories of this paper are: supr-con
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The categories of this paper are: cmp-lg
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The categories of this paper are: alg-geom
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The categories of this paper are: gr-qc
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The categories of this paper are: q-fin
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The categories of this paper are: cs
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The categories of this paper are: chem-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: patt-sol
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The categories of this paper are: math-ph
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The categories of this paper are: nlin
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The categories of this paper are: eess
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The categories of this paper are: plasm-ph
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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: hep-ex