Lapointe–Vinet's identification of Macdonald creation operators

Let $P_\beta$ be the Macdonald polynomial indexed by a generalized partition $\beta$, let $e_k$ be the elementary symmetric function acting by multiplication, and let $F(\kappa)$ be the diagonal operator defined by

$$F(\kappa)P_{(\beta_1,\dots,\beta_N)}=\prod_{i=1}^N(t^{\kappa+1-i}q^{\beta_i-1};q^{-1})_\infty P_{(\beta_1,\dots,\beta_N)}.$$

Define $F_{m,\kappa}=F(\kappa)e_mF(\kappa)^{-1}$.

Lapointe–Vinet's operator-identification conjecture. The creation operators satisfy

$$\tilde B_k^+=F(k)e_kF(k)^{-1}=F_{k,k}.$$

The conjecture identifies the creation operators with conjugated elementary-symmetric-function operators; the supplied text gives no resolution.