1304.7602 (S. Belliard et al.)

Bethe vectors of quantum integrable models with GL(3) trigonometric
R-matrix    [PDF]

S. Belliard, S. Pakuliak, E. Ragoucy, N. A. Slavnov

We study quantum integrable models with GL(3) trigonometric R-matrix solvable by the nested algebraic Bethe ansatz. Using presentation of the universal Bethe vectors in terms of projections of the product of the currents of quantum affine algebra Uq(gl3) onto intersections of different type Borel subalgebras, we prove that the set of the nested Bethe vectors is closed under action of the matrix elements of monodromy.

View original: http://arxiv.org/abs/1304.7602