The normed Calabi–Yau conjecture for toric Landau–Ginzburg models

Let $\triangle$ be a Delzant polytope, let $LG(\triangle)$ be the associated valued Landau–Ginzburg model, and let $MF(W_\triangle)$ be its normed matrix factorization category. Denote by $\Theta$ the $\infty$-trace on $MF(W_\triangle)$ constructed from the toric Landau–Ginzburg model.

Normed Calabi–Yau conjecture. For each Delzant polytope $\triangle$, the $\infty$-trace $\Theta$ on $MF(W_\triangle)$ is a normed Calabi–Yau structure.

This claim would establish the required Calabi–Yau structure for the trace arising from every toric Landau–Ginzburg model. The supplied text does not indicate whether it has been proved or remains open.