The theta–$\mathfrak{sl}_3$ Rozansky invariant conjecture

Let $\theta$ be the knot invariant constructed in the paper, and let $\rho_1^{\mathfrak{sl}_3}$ denote the first invariant obtained from the universal quantum invariant associated with $\mathfrak{sl}_3$.

Theta–$\mathfrak{sl}_3$ identification conjecture. Up to conventions and normalizations,

$$\theta=\rho_1^{\mathfrak{sl}_3}.$$

The formulas for $\theta$ were motivated by expectations for $\rho_1^{\mathfrak{sl}_3}$, but the authors explicitly state that they have not proved the equality. Thus the conjecture remains open.