Classifying solutions of $\mathrm{SU}(n+1)$ Toda system around a singular source

Jingyu Mu, Yiqian Shi, Tianyang Sun +1

Consider a positive integer $n$ and ${\hat{I}}_1^3>-1,\cdots ,{\hat{I}}_n^3>-1$. Let $D=\{z\in \mathbb{C}:|z|<1\}$, and let $(a_{ij}{)}_{n\times n}$ denote the Cartan matrix of $\mathfrak{su}(n+1)$. Utilizin…