Type $\text{II}$ quantum subgroups for quantum ${\mathfrak{sl}}_N$. $\text{II}$: Classification

Cain Edie-Michell, Terry Gannon

In this paper we study the indecomposable module categories over $\mathcal{C}({\mathfrak{sl}}_N,k)$, the category of integrable level-$k$ respresentations of affine Kac-Moody $\math…