Work

Affine $\mathfrak{sl}_2$ at admissible levels and quantum $\mathfrak{sl}_{2|1}$

Year: 2026
Type: preprint
Abstract: 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.
Language: English
Open Access status: green
OpenAlex ID: W7212973304
Cites: 131
Cited by: 3
Related to: 10