Supersymmetries in the theory of W-algebras

Andrew Linshaw, Arim Song, Uhi Rinn Suh

Let $\mathfrak{g}$ be a basic Lie superalgebra and $f$ be an odd nilpotent element in an $\mathfrak{osp}(1|2)$ subalgebra of $\mathfrak{g}$. We provide a mathematical proof of the…