English

Deformations of Dynamics Associated to the Chiral Potts Model

High Energy Physics - Theory 2015-06-26 v1

Abstract

We describe deformations of non-linear (birational) representations of discrete groups generated by involutions, having their origin in the theory of the symmetric five-state Potts model. One of the deformation parameters can be seen as the number qq of states of a chiral Potts models. This analogy becomes exact when qq is a Fermat number. We analyze the stability of the corresponding dynamics, with a particular attention to orbits of finite order.

Cite

@article{arxiv.hep-th/9207116,
  title  = {Deformations of Dynamics Associated to the Chiral Potts Model},
  author = {M. P. Bellon and J-M. Maillard and G. Rollet and C-M. Viallet},
  journal= {arXiv preprint arXiv:hep-th/9207116},
  year   = {2015}
}

Comments

11 pages, PAR--LPTHE 92--17, latex with amssymbols (change to amssymb if you have newlatex)