Donaldson–Scaduto realizability conjecture for gradient cycles

Let $X$ be a Calabi–Yau $3$-fold with a Lefschetz K3-fibration $\pi:X\rightarrow Y$, and let a gradient cycle be a graph in $Y$ whose edges are decorated by $2$-cycles in the K3 fibers, satisfy the corresponding balancing condition, and follow gradient-flow lines of the associated area functional. Donaldson–Scaduto realizability conjecture. There exists a $1$-parameter family of special Lagrangian submanifolds $L_t$ in $(X,\widetilde{\omega}_t)$ such that $L_t$ converges to the gradient cycle as $t\rightarrow0$. This conjecture addresses realizability of tropical-like gradient cycles by special Lagrangians in the adiabatic limit. The supplied text does not report a proof or a counterexample.