Bethe Ansatz for the Universal Weight Function

Details Bethe Ansatz for the Universal Weight Function Bethe Ansatz for the Universal Weight Function

2008-10-17

arxiv.org/abs/0810.3135v3

Ann. H. Poincarre 10 (2009) 513

Mathematics

Quantum Algebra

31 pages, 1 figure, misprints corrected and reference added

Scientific paper

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].

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