PreprintSupersymmetric \(W\)algebrasAlexander Molev, Eric Ragoucy and Uhi Rinn SuhAbstractWe 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 \({\mathfrak{gl}}(n+1n)\). This paper is available as a pdf (412kB) file.
