Incarnations of XXX $\widehat{{\mathfrak{sl}}_N}$ Bethe ansatz equations and integrable hierarchies

Igor Krichever, Alexander Varchenko

We consider the space of solutions of the Bethe ansatz equations of the $\widehat{{\mathfrak{sl}}_N}$ XXX quantum integrable model, associated with the trivial representation of $\wideha…