The Kazhdan-Lusztig category of ${\mathfrak{osp}}_{1|2n}$ at irrational levels

Thomas Creutzig, Robert McRae, Jinwei Yang

We prove the Kazhdan-Lusztig correspondence for the Lie superalgebra ${\mathfrak{osp}}_{1|2n}$ at irrational levels, that is, we show the category $\mathrm{KL}_k^{\rm ev}(\mathfrak{o…