Deformations of Dynamics Associated to the Chiral Potts Model

Details Deformations of Dynamics Associated to the Chiral Potts Model Deformations of Dynamics Associated to the Chiral Potts Model

1992-07-31

arxiv.org/abs/hep-th/9207116v1

Int.J.Mod.Phys. B6 (1992) 3575-3584

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

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 $q$ of states of a chiral Potts models. This analogy becomes exact when $q$ is a Fermat number. We analyze the stability of the corresponding dynamics, with a particular attention to orbits of finite order.

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