Elliptic corner VOA correlation conjecture for elliptic Macdonald polynomials

Let $m,n\in\mathbb{Z}^{\geq 1}$ with $m\leq n$, and let $\lambda\in\operatorname{Par}(m)$. Let $\widetilde{\psi}^{(q,\xi)}_{\lambda}$ be the specialization map that sends a symmetric function in $m$ variables to the variables arranged in $\ell(\lambda)$ geometric strings with ratios $q^{-1}$ and successive string parameters $1,\xi,\ldots,\xi^{\ell(\lambda)-1}$. Let $f^{(3^n)}_{11}$ and $\widetilde{T}^{(3^n)}_1$ denote the elliptic corner-VOA structure function and current, respectively, and specialize $q_1=q$, $q_2=q^{-1}t$, and $q_3=t^{-1}$. Elliptic corner VOA correlation conjecture. For each such $m,n,\lambda$, there exists $\mathcal{N}_{\lambda}(z_1,\dots,z_m)\in\mathbb{Q}(q,t)(z_1,\dots,z_m)$ such that the specialized limit

$$\lim_{\xi\to t}\left(\widetilde{\psi}^{(q,\xi)}_{\lambda}\circ\left.\right|_{\substack{q_1=q,\q_2=q^{-1}t,\q_3=t^{-1}}}\right)\left(\mathcal{N}_{\lambda}(z_1,\dots,z_m;p)\prod_{1\leq i<j\leq m}f^{(3^n)}_{11}\left(\frac{z_j}{z_i};p\right)\langle0|\widetilde{T}^{(3^n)}_1(z_1;p)\cdots\widetilde{T}^{(3^n)}_1(z_m;p)|0\rangle\right)$$

exists and equals $P_{\lambda}(u_1,\dots,u_n;q,t;p)$. This conjecturally identifies the relevant elliptic corner-VOA correlation functions with elliptic Macdonald polynomials after the appropriate regularized specialization; the existence of the normalization and the asserted identification are not established in the supplied text.