English

Bethe Ansatz for the Universal Weight Function

Quantum Algebra 2015-05-13 v3 Mathematical Physics math.MP

Abstract

We consider universal off-shell Bethe vectors given in terms of Drinfeld realization of the algebra Uq(gl^N)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].

Cite

@article{arxiv.0810.3135,
  title  = {Bethe Ansatz for the Universal Weight Function},
  author = {L. Frappat and S. Khoroshkin and S. Pakuliak and E. Ragoucy},
  journal= {arXiv preprint arXiv:0810.3135},
  year   = {2015}
}

Comments

31 pages, 1 figure, misprints corrected and reference added

R2 v1 2026-06-21T11:31:58.317Z