Bethe Ansatz for the Universal Weight Function

L. Frappat (1) , S. Khoroshkin (2) , S. Pakuliak (2) , E. Ragoucy (1)

1 LAPTH - Laboratoire d'Annecy-le-Vieux de Physique Théorique
2 BLTP - Bogoliubov Laboratory of Theoretical Physics [Dubna]

We consider universal off-shell Bethe vectors given in terms of Drinfeld realization of the algebra $U_q(\widehat{gl}_N)$ [arXiv:math/0610517,arXiv:0711.2819]. We investigate ordering properties of the product of the transfer matrix and these vectors. We derive that these vectors are eigenvectors of the transfer matrix if their Bethe parameters satisfy the universal Bethe equations [arXiv:math-ph/0512037].

Domaines: Algèbres quantiques [math.QA]; Physique mathématique [math-ph]; Physique mathématique [math-ph]

L. Frappat, S. Khoroshkin, S. Pakuliak, E. Ragoucy. Bethe Ansatz for the Universal Weight Function. Annales H. Poincaré, 2009, 10 (3), pp.513-548. ⟨10.1007/s00023-009-0416-x⟩. ⟨hal-00335068⟩