Preprint
Sep 2026
Affine $\mathfrak{sl}_2$ at admissible levels and quantum $\mathfrak{sl}_{2|1}$
We prove braided tensor equivalences between the categories of weight modules of the affine vertex algebra of $\mathfrak{sl}_2$ at any admissible level and categories associated to partially semisimplified versions of quantum $\mathfrak{sl}_{2|1}$ at roots of unity.
T. Creutzig, S. Lentner
· 0 citations