Fundamental theorem conjecture for the special linear supergroup

Let $\widetilde{\mathcal{O}}^{\mathrm{SL}(r|s)}$ denote the relevant superalgebra, and let $Y_{\underline{i}|\underline{\hat{\mu}}}$, $Y_{\underline{i}_{a}(\hat{\nu})|\underline{\hat{\mu}}}$, $Y^{*}_{\underline{i}|\underline{\hat{\mu}}_{\alpha}(j)}$, and $Y^{*}_{\underline{i}|\underline{\hat{\mu}}}$ be its indicated generators. Let the super Plücker relations be those given in Equations,,, and. Fundamental theorem conjecture. $\widetilde{\mathcal{O}}^{\mathrm{SL}(r|s)}$ is isomorphic to the superalgebra generated by these elements subject to the stated super Plücker relations. The claim proposes the corresponding presentation of the coordinate superalgebra, extending the fundamental theorem of invariant theory to the special linear supergroup; its resolution is not established by the supplied text.