Cyclic monodromy conjecture for Bethe vectors

Let $\fg$ be the Lie algebra in the Gaudin model, and let the theorem referred to in the source as Theorem~ assert the cyclic monodromy property for the associated Bethe vectors. Cyclic monodromy conjecture. Theorem~ holds for arbitrary $\fg$. The surrounding section identifies this as a variant of the Bethe Ansatz conjecture, but the supplied context does not state the theorem's content.