Virasoro-constraint conjecture for stable pairs on projective 3-space

Let $\mathbb D^+$ be the descendent operator space, let $\mathcal L_k$ be the operators defined in the source, let $\mathsf D\in\mathbb D^+$, and let $d\mathsf L$ range over curve classes of $\mathsf P^3$. Oblomkov–Okounkov–Pandharipande Virasoro conjecture.

$$\mathsf Z_{\mathsf P}(\mathsf P^3;q\mid\mathcal L_k\mathsf D)_{d\mathsf L}=0$$

for all $k\ge -1$, all $\mathsf D\in\mathbb D^+$, and all curve classes $d\mathsf L$. The conjecture proposes stable-pairs analogues of the Gromov–Witten Virasoro constraints for $\mathsf P^3$; the supplied text gives no resolution.