Invitation to the Bethe ansatz
Quantum Algebra
2017-04-07 v1 Mathematical Physics
math.MP
Abstract
We review the algebraic Bethe ansatz for the Heisenberg model. The exposition includes some of recent advancements with emphasis on a relation with the rigged configurations. We also provide somewhat thorough review of the crystal bases and the rigged configurations. In particular, we provide the inverse scattering transform for the type box-ball systems. We also provide a reformulation of a result of arXiv:0711.4185.
Cite
@article{arxiv.1704.01650,
title = {Invitation to the Bethe ansatz},
author = {Reiho Sakamoto},
journal= {arXiv preprint arXiv:1704.01650},
year = {2017}
}
Comments
76 pages. Main text in Japanese. English abstract at the final page