New symmetries of the chiral Potts model

Abstract

In this paper a hitherto unknown spectrum generating algebra, consisting of two coupled Temperley–Lieb algebras, is found in the three-state chiral Potts model. From this, we can construct new Onsager integrable models. One realization is in terms of a staggered isotropic XY spin chain. Further we investigate the importance of the algebra for the existence of mutually commuting conserved charges. This leads us to a natural generalization of the boost operator, which generates the charges.