Modular Nahm Sums for the Inverse Cartan Matrix of Type $D_r$

Liuquan Wang, Shangwen Wang

For $r\ge 3$ we denote by $\mathcal{C}(D_r)$ the Cartan matrix of type $D_r$. Recently, Sun and Wang conjectured a Rogers--Ramanujan type identity for the Nahm sum associated with…