Nested algebraic Bethe ansatz for deformed orthogonal and symplectic spin chains
Mathematical Physics
2020-04-29 v2 High Energy Physics - Theory
math.MP
Exactly Solvable and Integrable Systems
Abstract
We construct exact eigenvectors and eigenvalues for - and -symmetric closed spin chains by means of a nested algebraic Bethe ansatz method. We use a fusion procedure to construct higher-dimensional Lax operators. Our approach generalises and extends the results obtained by Reshetikhin and De Vega-Karowski. We also present a generalisation of Tarasov-Varchenko trace formula for nested Bethe vectors.
Keywords
Cite
@article{arxiv.1912.11497,
title = {Nested algebraic Bethe ansatz for deformed orthogonal and symplectic spin chains},
author = {Allan Gerrard and Vidas Regelskis},
journal= {arXiv preprint arXiv:1912.11497},
year = {2020}
}
Comments
22 pages, v2: final version