Classifying nearest-neighbour interactions and deformations of AdS
High Energy Physics - Theory
2020-07-22 v2 Statistical Mechanics
Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
Abstract
We classify all regular solutions of the Yang-Baxter equation of eight-vertex type. Regular solutions correspond to spin chains with nearest-neighbour interactions. We find a total of four independent solutions. Two are related to the usual six- and eight-vertex models that have R-matrices of difference form. We find two completely new solutions of the Yang-Baxter equation, which are manifestly of non-difference form. These new solutions contain the S-matrices of the AdS2 and AdS3 integrable models as a special case. Consequently, we can classify all possible integrable deformations of eight-vertex type of these holographic integrable systems.
Keywords
Cite
@article{arxiv.2003.04332,
title = {Classifying nearest-neighbour interactions and deformations of AdS},
author = {Marius de Leeuw and Chiara Paletta and Anton Pribytok and Ana L. Retore and Paul Ryan},
journal= {arXiv preprint arXiv:2003.04332},
year = {2020}
}
Comments
6 pages