Quantum toroidal gl(1) and Bethe ansatz
Quantum Algebra
2015-02-26 v1 Mathematical Physics
math.MP
Abstract
We establish the method of Bethe ansatz for the XXZ type model obtained from the R-matrix associated to quantum toroidal gl(1). We do that by using shuffle realizations of the modules and by showing that the Hamiltonian of the model is obtained from a simple multiplication operator by taking an appropriate quotient. We expect this approach to be applicable to a wide variety of models.
Cite
@article{arxiv.1502.07194,
title = {Quantum toroidal gl(1) and Bethe ansatz},
author = {B. Feigin and M. Jimbo and T. Miwa and E. Mukhin},
journal= {arXiv preprint arXiv:1502.07194},
year = {2015}
}
Comments
Latex, 25 pages