The generator-commutator conjecture for regular finite W-superalgebras

Let $\frak g$ be a basic classical Lie superalgebra, let $\chi$ be regular, and let $W_\chi$ be the associated finite W-superalgebra. Let $\pi$ denote the relevant quotient or representation map and let $Z(\frak g)$ be the center of $\frak g$. Generator-commutator conjecture. It is possible to find a set of generators of $W_\chi$ such that the even generators commute, and the commutators of odd generators belong to $\pi(Z(\frak g))$. This asserts a particularly controlled generating system for regular finite W-superalgebras; the supplied text gives no resolution or partial-result evidence.