New symmetries of the chiral Potts model
Statistical Mechanics
2015-05-30 v3 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
In this paper a hithertho unknown symmetry of the three-state chiral Potts model is found consisting of two coupled Temperley-Lieb algebras. From these we can construct new superintegrable models. One realisation is in terms of a staggered isotropic XY spin chain. Further we investigate the importance of the algebra for the existence of mutually commuting charges. This leads us to a natural generalisation of the boost-operator, which generates the charges.
Keywords
Cite
@article{arxiv.1109.6503,
title = {New symmetries of the chiral Potts model},
author = {Jens Fjelstad and Teresia Mansson},
journal= {arXiv preprint arXiv:1109.6503},
year = {2015}
}
Comments
19 pages, improved notation, made the text easier to read, corrected some typos