The Nested Off-shell Bethe ansatz and O(N) Matrix Difference Equations
Mathematical Physics
2012-04-17 v1 High Energy Physics - Theory
math.MP
Abstract
A system of O(N)-matrix difference equations is solved by means of the off-shell version of the nested algebraic Bethe ansatz. In the nesting process a new object, the -matrix, is introduced to overcome the complexities of the O(N) group structure. The proof of the main theorem is presented in detail. In particular, the cancellation of all unwanted terms is shown explicitly. The highest weight property of the solutions is proved.
Keywords
Cite
@article{arxiv.1204.3479,
title = {The Nested Off-shell Bethe ansatz and O(N) Matrix Difference Equations},
author = {H. Babujian and A. Foerster and M. Karowski},
journal= {arXiv preprint arXiv:1204.3479},
year = {2012}
}
Comments
This paper contains detailed proofs and pictures which were shortened or skipped in JPA45 (2012) 055207, 40 pages