Coates–Corti–Iritani–Tseng's quantum Lefschetz conjecture

Let $X$ be a smooth proper Deligne–Mumford stack with projective coarse moduli space, and let $Y$ be a smooth complete intersection in $X$. Let $I^{tw}$ be a point on the twisted Lagrangian cone $\mathcal L^{tw}_{X}$ of $X$. Coates–Corti–Iritani–Tseng's conjecture. If the limit

$$\lim_{\kappa\rightarrow 0}i^{*}I^{tw}$$

exists, then

$$\lim_{\kappa\rightarrow 0}i^{*}I^{tw}$$

is a point on the Lagrangian cone $\mathcal L_{Y}$ of $Y$. The conjecture does not require the line bundles defining the complete intersection to be semi-positive, and it is known to be false in general; a counterexample is given by Sultani (2022).