Bethe Ansatz for the Universal Weight Function

2008/10/31 by L. Frappat, S. Khoroshkin, S. Pakuliak +1
Mathematics · Physics and Astronomy · #math.QA #math-ph #math.MP #msc:17B37 #msc:81R50

paper · pdf · doi:10.1007/s00023-009-0416-x

published as Ann. H. Poincarre 10 (2009) 513 · 31 pages, 1 figure, misprints corrected and reference added

arxiv created 2009/02/13 · arxiv updated 2015/05/12

Abstract

We consider universal off-shell Bethe vectors given in terms of Drinfeld realization of the algebra U_q(\widehatgl_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].

Citations

• Spectrum and Bethe ansatz equations for the U_ q(gl(N)) closed and open spin chains in any representation