Séminaire de Physique Théorique
A tale of two Bethe ansätzeRodrigo Alves Pimenta (Université de Tours)
Thursday 25 October 2018 14:00 - Tours - Salle 1180 (Bât E2)
Résumé :
We revisit the construction of the eigenvectors of the single and double-row transfer matrices associated with the Zamolodchikov-Fateev model, within the algebraic Bethe ansatz method. The left and right eigenvectors are constructed using two different methods: the fusion technique and Tarasov's construction. A simple explicit relation between the eigenvectors from the two Bethe ansätze is obtained. As a consequence, we obtain the Slavnov formula for the scalar product between on-shell and off-shell Tarasov-Bethe vectors.
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