Integrable SU(N) vertex models with general toroidal boundary conditions
Exactly Solvable and Integrable Systems
2015-06-26 v1 Statistical Mechanics
Abstract
We formulate the algebraic Bethe ansatz solution of the SU(N) vertex models with rather general non-diagonal toroidal boundary conditions. The reference states needed in the Bethe ansatz construction are found by performing gauge transformations on the Boltzmann weights in the manner of Baxter [1]. The structure of the transfer matrix eigenvectors consists of multi-particle states over such pseudovacuums and the corresponding eigenvalues depend crucially on the boundary matrix eigenvalues. We also discuss for N=2 the peculiar case of twisted boundaries associated to singular matrices.
Cite
@article{arxiv.nlin/0308011,
title = {Integrable SU(N) vertex models with general toroidal boundary conditions},
author = {G. A. P. Ribeiro and M. J. Martins and W. Galleas},
journal= {arXiv preprint arXiv:nlin/0308011},
year = {2015}
}
Comments
21 pages