Extremal-ray generation conjecture for the algebra of conformal blocks

Let $\mathrm{M}_{\mathbf{p}}(r,0)$ be the moduli space of parabolic bundles, let $\mathrm{Eff}(\mathrm{M}_{\mathbf{p}}(r,0))$ denote its effective cone, and let $\mathbb{V}^{\dagger}$ be the algebra of conformal blocks. Since the effective cone is polyhedral, it has finitely many extremal rays; the first integral point of an extremal ray means its nonzero integral point closest to the origin. Extremal-ray generation conjecture. The algebra $\mathbb{V}^{\dagger}$ is generated by the set of effective divisors whose numerical classes are the first integral points of the extremal rays of

$$\mathrm{Eff}(\mathrm{M}_{\mathbf{p}}(r,0)).$$

The conjecture proposes an explicit generating set for the finitely generated algebra of conformal blocks, refining the finite-generation result established in the paper. The source gives no resolution of this proposed generating-set statement.