Symplectic-duality conjecture for associated varieties of boundary VOAs

Let boundary VOAs arise from topologically twisted $\mathcal{N}=4$ SQFTs, and let their associated varieties be the corresponding Poisson-geometric spaces. Let Slodowy varieties and affine Grassmannians denote the varieties occurring in the symplectic-duality description. Symplectic-duality conjecture. For associated varieties of boundary VOAs from topologically twisted $\mathcal{N}=4$ SQFTs, there exists an isomorphism between a class of Slodowy varieties and affine Grassmannians as dictated by 3d mirror symmetry. This proposes a geometric manifestation of 3d mirror symmetry at the level of associated varieties; the supplied text does not give a proof or resolution status.