A New Class of Higher Quantum Airy Structures as Modules of $\mathcal{W}({\mathfrak{gl}}_r)$-Algebras

Vincent Bouchard, Kieran Mastel

Quantum $r$-Airy structures can be constructed as modules of $\mathcal{W}({\mathfrak{gl}}_r)$-algebras via restriction of twisted modules for the underlying Heisenberg algebra. In th…