Knizhnik-Zamolodchikov equations and the algebraic Bethe ansatz

Wave vectors of the algebraic Bethe ansatz provide modulo integrating factors solutions of difference equations and in the quasiclassical limit solutions of linear differential equations, the so called quantum and classical Knizhnik-Zamolodchikov equations. We describe the construction and show conversely how this relationship may be used to elucidate the structure of Bethe wave vectors of integrable inhomogeneous vertex models over simple Lie algebras. (orig)Available from TIB Hannover: RR 3949(94-25) / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische InformationsbibliothekSIGLEDEGerman

Off-shell Bethe ansatz equation for Gaudin magnets and solutions of Knizhnik-Zamolodchikov equations

We generalize the previously established connection between the off-shell Bethe ansatz equation for inhomogeneous SU(2) lattice vertex models in the quasiclassical limit and the solutions of the SU(2) Knizhnik-Zamolodchikov equations to the case of arbitrary simple Lie algebras. (orig.)Available from TIB Hannover: RN 5063(93-30) / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische InformationsbibliothekSIGLEDEGerman