Duality of subregular W-algebras and principal W-superalgebras

Thomas Creutzig, Naoki Genra, Shigenori Nakatsuka

We prove Feigin-Frenkel type dualities between subregular W-algebras of type A, B and principal W-superalgebras of type $\mathfrak{sl}(1|n),\mathfrak{osp}(2|2n)$. The type A case…