The potential conjecture for monoidal categorification

Let $\mathcal{C}$ be a rigid monoidal abelian category with a system of renormalized $r$-matrices, and let $(\{\mathcal{F}_i\}_{i \in I}, \widetilde{B})$ be a monoidal seed, where $\widetilde{B}$ is the signed adjacency matrix of a quiver $Q$. Potential conjecture. There is a potential $W$ on $Q$ such that a mutation sequence can be performed on the monoidal seed in $\mathcal{C}$ if and only if it can be performed on the quiver with potential $(Q,W)$. The potential should encode monoidal factorization properties of objects constructed from the $\mathcal{F}_i$. This conjecture seeks to explain mutation obstructions and factorization phenomena intrinsically through quivers with potential; the supplied source gives no resolution.