Generators of Supersymmetric Classical $W$-algebras

Abstract

Let $\mathfrak{g}$ be a Lie superalgebra of type $\mathfrak{sl}$ or $\mathfrak{osp}$ with an odd principal nilpotent element $f$. We consider a matrix ${\mathcal{A}}_{\mathfrak{g},f}$ determined by $\mathfrak{g}$ and $f$ and find a generating set of the supersymmetric classical $W$-algebra $\mathcal{W}(\bar{\mathfrak{g}},f)$ using the row determinant of ${\mathcal{A}}_{\mathfrak{g},f}$.

References in corpus (3)

• Supersymmetric vertex algebras
• Supersymmetric W-algebras
• Classical W-algebras in types A, B, C, D and G