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Название: The Six-Vertex Model Eigenvectors as Critical Limit of the Eight-Vertex Model Bethe Ansatz
Авторы: Destri C., de Vega H.J., Giacomini H.J.
The critical limit of the eight-vertex model eigenvectors obtained by means of the generalized Bethe Ansatz is shown to give the six-vertex eigenvectors as constructed in a previous paper by two of the authors. Furthermore, an explicit mapping is established between these eigenvectors and the usual Bethe Ansatz eigenvectors of the six-vertex model. This allows one to show that the index v labeling the eight-vertex eigenstates becomes exactly the third component of the total spin in the critical limit.