The SYZ mirror identification conjecture for an anticanonical divisor

Let $M$ be the complexified moduli space of special Lagrangian tori in $X\setminus D$, let $\delta$ be the class of the small holomorphic discs bounded by the circle fibers near the boundary, and let $z_\delta$ be its associated coordinate. Define

$$M_D=\{z_\delta=1\}\subset\partial M.$$

The SYZ mirror identification conjecture. The subset $M_D$ is the Strominger–Yau–Zaslow mirror of $D$. This identifies the mirror of the anticanonical divisor with the locus where the circle-fiber holonomy is trivial; the paper derives this from the proposed boundary behavior, but a general proof remains open.