The local Langlands conjecture for the metaplectic group Mp_{2n}

Let $F$ be a local field with $F\neq\mathbb C$ and $\operatorname{char}(F)\neq 2$, let $Mp_{2n}$ be the metaplectic group, and let $\psi$ be a nontrivial continuous additive character of $F$. Write $\operatorname{Irr}_\epsilon(Mp_{2n})$ for the genuine irreducible representations of $Mp_{2n}$, and let $\operatorname{Par}(\mathbf{\Gamma}_F\times\mathbf{Sp}_{2n})$ denote the corresponding set of Langlands parameters for the product of the absolute Galois group with the dual group $\mathbf{Sp}_{2n}$. The local Langlands conjecture for $Mp_{2n}$. For each nontrivial continuous additive character $\psi$ of $F$, there is a finite-to-one parameterization map

$$\operatorname{Irr}_\epsilon(Mp_{2n})\longrightarrow \operatorname{Par}(\mathbf{\Gamma}_F\times\mathbf{Sp}_{2n}).$$

This is the expected local Langlands parameterization for genuine representations of the metaplectic group; the source presents it as a well-known conjecture compatible with its construction of the $L$-group. The supplied text gives no evidence that the conjecture has been resolved.