The affine description conjecture for subcategories from preprojective quotients

Suppose that $Q$ is an affine quiver, let $W$ be its Weyl group, let $\Pi$ be the associated preprojective algebra, and let $I_w$ be the ideal associated to $w\in W$. Let $\mathcal Z$ be a full subcategory of $kQ$-modules. Affine description conjecture. The subcategory $\mathcal Z$ arises as $\mathscr{C}(\Pi/I_w)$ for some $w\in W$ if and only if it has finitely many indecomposables, it is subclosed, and, for every tube, at least one ray in the tube does not intersect $\mathcal Z$. The conjecture proposes a precise characterization in the affine case, while the paper presents it as conjectural beyond the cases established earlier.