2 problems

Charge-refined q-series conjecture. The following identity holds:

Let $\mathfrak{g}=\mathfrak{sl}(n+1)$, let $\Lambda_i$ be the fundamental weights, and let $\bar{U(\mathfrak{n})}$, $\widetilde{U(\bar{\mathfrak{n}})\bar{\mathfrak{n}}_{+}}$,…