Clifford-limit equivalence conjecture for toric complete intersections

Let $(\mathcal{S},\mathcal{B}_0)$ be the Clifford-limit object defined using the central even Clifford algebra sheaf, and let $D_B(K,c,\Sigma)$ denote the category associated with the data $(K,c,\Sigma)$. Assume the relevant centrality and flatness conditions hold. Clifford-limit equivalence conjecture. There is an equivalence

$$D^b\operatorname{Coh}(\mathcal{S},\mathcal{B}_0)\simeq D_B(K,c,\Sigma).$$

The conjecture asserts that these more sophisticated Clifford limits yield the same triangulated categories as the other limits considered in the paper, extending the categorical equivalences beyond the basic Clifford constructions.