Solutions of ${\mathfrak{gl}}_{m|n}$ XXX Bethe ansatz equation and rational difference operators

Chenliang Huang, Kang Lu, Evgeny Mukhin

We study solutions of the Bethe ansatz equations of the non-homogeneous periodic XXX model associated to super Yangian $\mathrm{Y}({\mathfrak{gl}}_{m|n})$. To a solution we associate…