Author

S. Lentner

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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

Preprint Aug 2026

Hochschild Cohomology, Modular Tensor Categories, and Mapping Class Groups II

In the first part of this work, we have, for a not necessarily semisimple modular category, generalized the action of the mapping class groups of surfaces on the spaces of conformal blocks to the so-called derived block spaces. In the second part presented here, we compute this action explicitly in the case of Drinfel'...

S. Lentner, Svea Nora Mierach, Christoph Schweigert et al. · 0 citations