Supersymmetric W-algebras

  title={Supersymmetric W-algebras},
  author={Alexander I. Molev and Eric Ragoucy and Uhi Rinn Suh},
  journal={Letters in Mathematical Physics},
We explain 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 $$\mathfrak {gl}(n+1|n)$$ gl ( n + 1 | n ) . 

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