The Gaudin model and the super Bethe ansatz for unitarizable modules over the general linear Lie (super)algebra

Bintao Cao, Wan Keng Cheong, Ngau Lam

Let ${\mathcal{A}}_{\mathfrak{g}}^{\mathbf{z}}$ be the Gaudin algebra for the general linear Lie (super)algebra $\mathfrak{g}$ with respect to a sequence $\mathbf{z}\in {\mathbb{C}}^{\ell }$ of…