The equivalence conjecture for the classical BCOV interactions $J$ and $I_{0,0,*}$

Let $J$ be the classical BCOV interaction defined using the coefficients obtained from integrals over $\overline{\mathcal{M}}_{0,n}$, and let $I_{0,0,*}$ be the purely closed-string classical interaction obtained from the quantum open-closed BCOV theory. Both are solutions to the classical master equation. Classical-interaction equivalence conjecture. The functionals $J$ and $I_{0,0,*}$ are equivalent solutions to the classical master equation. This would identify the interaction constructed in the paper with the earlier BCOV interaction on a Calabi–Yau manifold; the source presents the equivalence as conjectural.