Tensor category $K{L}_k({\mathfrak{sl}}_{2n})$ via minimal affine $W$-algebras at the non-admissible level $k=-\frac{2n+1}{2}$

Drazen Adamovic, Thomas Creutzig, Ozren Perse +1

We prove that $K{L}_k({\mathfrak{sl}}_m)$ is a semi-simple, rigid braided tensor category for all even $m\ge 4$, and $k=-\frac{m+1}{2}$ which generalizes result from arXiv:2103.02985…