The B-brane category conjecture for geometric N=2 SCFTs on tori

Let $X$ be a torus with a geometric $N=2$ structure $(I,J)$, and let $C^{\mathrm{B}}_{I,J}(X)$ denote the category of B-branes and $\mathcal{D}\operatorname{Coh}_{I,J}(X)$ the derived category of coherent sheaves. B-brane category conjecture. For $(I,J) \in \mathscr{T}_{N=2}^{\mathrm{geom}}$, the category of B-branes $\mathcal{C}^{\mathrm{B}}_{I,J}(X)$ is equivalent to the derived category of coherent sheaves $\mathcal{D}\operatorname{Coh}_{I,J}(X)$. This is the proposed geometrical description of B-branes; the source does not state that the equivalence has been proved in the asserted generality.