Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Principal W-algebras for GL(m|n)   We consider the (finite) $W$-algebra $W_{m|n}$ attached to the principal
nilpotent orbit in the general linear Lie superalgebra
$\mathfrak{gl}_{m|n}(\mathbb C)$. Our main result gives an explicit description
of $W_{m|n}$ as a certain truncation of a shifted version of the Yangian
$Y(\mathfrak{gl}_{1|1})$. We also show that $W_{m|n}$ admits a triangular
decomposition and construct its irreducible representations.

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The categories of this paper are: hep-ex
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The categories of this paper are: atom-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: solv-int
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The categories of this paper are: cmp-lg
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The categories of this paper are: cs
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The categories of this paper are: math-ph
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The categories of this paper are: cond-mat
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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-bio
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The categories of this paper are: gr-qc
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The categories of this paper are: eess
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The categories of this paper are: supr-con