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• W3100252129 abstract "Let $mathfrak{g}$ be a simple finite-dimensional Lie superalgebra with a non-degenerate supersymmetric even invariant bilinear form, $f$ a nilpotent element in the even part of $mathfrak{g}$, $Gamma$ a good grading of $mathfrak{g}$ for $f$ and $mathcal{W}^{k}(mathfrak{g},f;Gamma)$ the $mathcal{W}$-algebra associated with $mathfrak{g},f,k,Gamma$ defined by the generalized Drinfeld-Sokolov reduction. In this paper, we present each $mathcal{W}$-algebra as the intersection of kernels of the screening operators, acting on the tensor vertex superalgebra of an affine vertex superalgebra and a neutral free superfermion vertex superalgebra. As applications, we prove that the $mathcal{W}$-algebra associated with a regular nilpotent element in $mathfrak{osp}(1,2n)$ is isomorphic to the $mathcal{W}B_{n}$-algebra introduced by Fateev and Lukyanov, and that the $mathcal{W}$-algebra associated with a subregular nilpotent element in $mathfrak{sl}_{n}$ is isomorphic to the $mathcal{W}^{(2)}_{n}$-algebra introduced by Feigin and Semikhatov." @default.
• W3100252129 created "2020-11-23" @default.
• W3100252129 creator A5031036478 @default.
• W3100252129 date "2017-02-18" @default.
• W3100252129 modified "2023-10-16" @default.
• W3100252129 title "Screening operators for $$mathcal {W}$$ W -algebras" @default.
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• W3100252129 doi "https://doi.org/10.1007/s00029-017-0315-9" @default.
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