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arXiv · 1901.06557

Supersymmetric W-algebras

Alexander Molev·Eric Ragoucy·Uhi Rinn Suh
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Abstract

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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Alexander Molev, Eric Ragoucy, Uhi Rinn Suh. 2019-01-19. Supersymmetric W-algebras. https://doi.org/10.1007/s11005-020-01346-1

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