Super formal Daboux-Weinstein theorem and finite W superalgebra

Bin Shu, Husileng Xiao

Let $\vvv=\vvv_{\bar{0}}+\vvv_{\bar{1}}$ be a ${\mathbb{Z}}_2$-graded (super) vector space with an even ${\mathbb{C}}^{\times }$-action and $χ\in \vvv_{\bar{0}}^{*}$ be a fixed point of…