$({\mathfrak{gl}}_M,{\mathfrak{gl}}_N)$-Dualities in Gaudin Models with Irregular Singularities

Benoit Vicedo, Charles Young

We establish $({\mathfrak{gl}}_M,{\mathfrak{gl}}_N)$-dualities between quantum Gaudin models with irregular singularities. Specifically, for any $M,N\in {\mathbb{Z}}_{\ge 1}$ we…