Theta-block lift conjecture

Let $\Theta\in J_{k,t}$ be a theta block with trivial character and with order of vanishing $1$ in $q$. Here $J_{k,t}$ denotes the space of Jacobi forms of weight $k$ and index $t$, and $V_2$ is the index-raising operator appearing in the quotient. Let $\operatorname{Lift}$ denote the lifting construction and $B$ the Borcherds-type lift used in the paper. Theta-block lift conjecture.

$$\operatorname{Lift}(\Theta)=B\left(-\frac{\Theta|V_2}{\Theta}\right).$$

This conjecture is motivated by the paramodular form $F_3^{(13)}$ of weight $3$ and predicts that the lift of a theta block agrees with the corresponding Borcherds-type construction. Its resolution is not specified in the supplied text.