2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/77554We consider a tensor product of a Verma module and the linear representation of $sl(n+1)$. We prove that the corresponding phase function, which is used in the solutions of the KZ equation with values in the tensor product, has a unique critical point and show that the Hessian of the logarithm of the phase function at this critical point equals the Shapovalov norm of the corresponding Bethe vector.Representation TheoryMathematical PhysicsLatex, 5 pagesRemarks on critical points of phase functions and norms of Bethe vectorstext