Macdonald superpolynomial positivity conjecture

Let $J_{\Lambda}(q,t)=h_{\Lambda}^{\mathrm{lo}}(q,t)P_{\Lambda}(q,t)$ be the integral form of the super-Macdonald polynomial. Define $H_{\Lambda}(q,t)=\varphi_t(J_{\Lambda}(q,t))$, where $\varphi_t(p_r)=(1-t^r)^{-1}p_r$ and $\varphi_t(\tilde p_s)=\tilde p_s$. Expand $H_{\Lambda}$ in the Schur superpolynomial basis as

$$H_{\Lambda}(q,t)=\sum_{\Om}K_{\Om\Lambda}(q,t)s_{\Om}.$$

Macdonald superpolynomial positivity conjecture. For all superpartitions $\Lambda$ and $\Om$, the coefficients satisfy

$$K_{\Om\Lambda}(q,t)\in\mathbb N[q,t].$$

This extends Macdonald positivity to superspace. The source gives no resolution status and attributes the conjecture to BF1.