# Supersymmetric W-algebras

@article{Molev2021SupersymmetricW,
title={Supersymmetric W-algebras},
author={Alexander I. Molev and Eric Ragoucy and Uhi Rinn Suh},
journal={Letters in Mathematical Physics},
year={2021},
volume={111},
pages={1-25}
}
• Published 19 January 2019
• Mathematics
• 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 ) .
5 Citations

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