Journal
SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS
Volume 9, Issue -, Pages -Publisher
NATL ACAD SCI UKRAINE, INST MATH
DOI: 10.3842/SIGMA.2013.058
Keywords
nested algebraic Bethe ansatz; Bethe vector; current algebra
Categories
Funding
- RFBR [11-01-00980-a]
- Scientific Foun- dation of NRU HSE [12-09-0064]
- ANR Project DIADEMS [ANR SIMI1 2010-BLAN-0120-02]
- RAS Basic Problems of the Nonlinear Dynamics [RFBR-11-01-00440, SS-4612.2012.1]
Ask authors/readers for more resources
We study quantum integrable models with GL(3) trigonometric R-matrix and solvable by the nested algebraic Bethe ansatz. Using the presentation of the universal Bethe vectors in terms of projections of products of the currents of the quantum affine algebra U-q((gl) over cap (3)) onto intersections of different types of Borel subalgebras, we prove that the set of the nested Bethe vectors is closed under the action of the elements of the monodromy matrix.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available