Do we have super Plucker relations for a super Grassmannian?

In The quantum chiral Minkowski and conformal superspaces by Cervantes, Fioresi, and Lledó the super Grassmannian of $(2|0)$ planes in $\mathbb{C}^{4|1}$ is considered. In Equation (4.9) some "super Plücker relations" are given for this particular super Grassmannian. The relations contain the classical Plücker relation for $Gr(2,4)$ plus some more relations.

There's a paper titled On super Plücker embedding and possible application to cluster algebras just came out this summer.