Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Supersymmetric W-algebras   We develop a general theory of $W$-algebras in the context of supersymmetric
vertex algebras. We describe the structure of $W$-algebras associated with odd
nilpotent elements of Lie superalgebras in terms of their free generating sets.
As an application, we produce explicit free generators of the $W$-algebra
associated with the odd principal nilpotent element of the Lie superalgebra
$\mathfrak{gl}(n+1|n).$

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The categories of this paper are: hep-ex
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The categories of this paper are: chem-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: chao-dyn
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The categories of this paper are: bayes-an
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The categories of this paper are: alg-geom
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The categories of this paper are: econ
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The categories of this paper are: q-fin
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The categories of this paper are: solv-int
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The categories of this paper are: nlin
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The categories of this paper are: funct-an
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The categories of this paper are: adap-org
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The categories of this paper are: stat
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The categories of this paper are: q-alg
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The categories of this paper are: supr-con
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The categories of this paper are: quant-ph