Monodromy free Schrödinger operators and affine ${\mathfrak{sl}}_2$ master functions

Andrei Grigorev, Evgeny Mukhin

Given a non-zero polynomial $P(x)$, we study Fuchsian differential operators of the form $L={\partial }_x^2-u(x)$ such that for all $\hat{I}»\in \mathbb{C}$ the operator $L+\hat{I}»P(x)$ is monodr…