Discrete Holomorphic Parafermions in the Eight Vertex Model
Statistical Mechanics
2012-11-07 v4 High Energy Physics - Theory
Abstract
We show that holomorphic Parafermions exist in the eight vertex model. This is done by extending the definition from the six vertex model to the eight vertex model utilizing a parameter redefinition. These Parafermions exist on the critical plane and integrable cases of the eight vertex model. We show that for the case of staggered eight vertex model, these Parafermions correspond to those of the Ashkin-Teller model. Furthermore, the loop representation of the eight vertex model enabled us to show a connection with the O(n) model which is in agreement with the six vertex limit found as a special case of the O(n) model.
Cite
@article{arxiv.1209.4253,
title = {Discrete Holomorphic Parafermions in the Eight Vertex Model},
author = {M. Tanhayi-Ahari and S. Rouhani},
journal= {arXiv preprint arXiv:1209.4253},
year = {2012}
}
Comments
17 pages, 6 figures, some changes made to v1, references added, v3 some typos corrected