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Supersymmetric W-algebras

Abstract

We develop a general theory of WW-algebras in the context of supersymmetric vertex algebras. We describe the structure of WW-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 WW-algebra associated with the odd principal nilpotent element of the Lie superalgebra gl(n+1∣n).\mathfrak{gl}(n+1|n).Comment: 24page

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