Algebraic Bethe ansatz for the Temperley-Lieb spin-1 chain
Mathematical Physics
2016-10-04 v2 Statistical Mechanics
High Energy Physics - Theory
math.MP
Abstract
We use the algebraic Bethe ansatz to obtain the eigenvalues and eigenvectors of the spin-1 Temperley-Lieb open quantum chain with "free" boundary conditions. We exploit the associated reflection algebra in order to prove the off-shell equation satisfied by the Bethe vectors.
Keywords
Cite
@article{arxiv.1601.04328,
title = {Algebraic Bethe ansatz for the Temperley-Lieb spin-1 chain},
author = {Rafael I. Nepomechie and Rodrigo A. Pimenta},
journal= {arXiv preprint arXiv:1601.04328},
year = {2016}
}
Comments
v2: 28 pages; minor revisions, published