Bryan–Gholampour's type D quantum McKay formula

Let $G\subset SO(3)$ be a polyhedral subgroup, let $\mathcal{X}=[\mathbb{C}^{3}/G]$, and let $F_{0}^{\mathcal{X}}(x_1,\ldots,x_n)$ denote its $\mathbb{C}^{*}$-equivariant genus-zero orbifold Gromov–Witten potential, with the unit parameter $x_0$ set to zero. Let $R$ be the associated root system, let $R^{+}$ be its set of positive roots, and let $h$ be the series used in the formula. For each positive root $\beta$, define

$$P_{\beta}=\sum_{\rho}\frac{b_{\rho}}{|G|}\left(2\pi n_{\rho}+\sum_{g\in G}\sqrt{3-\chi_{\rho_1}(g)}\,\overline{\chi}_{\rho}(g)x_{\llbracket g\rrbracket}\right),$$

where the sum is over the non-trivial irreducible representations of $G$. Bryan–Gholampour's type D formula.

$$F_{0}^{\mathcal{X}}(x_1,\ldots,x_n)=\frac{1}{2}\sum_{\beta\in R^{+}}h(\pi+P_{\beta}).$$

The source presents this as a conjectural formula for the polyhedral subgroups of $SO(3)$, extending the quantum McKay correspondence from the binary polyhedral case; no resolution status is supplied in the provided text.