New symmetries of the chiral Potts model

Details New symmetries of the chiral Potts model New symmetries of the chiral Potts model

2011-09-29

arxiv.org/abs/1109.6503v3

Physics

Condensed Matter

Statistical Mechanics

19 pages, improved notation, made the text easier to read, corrected some typos

Scientific paper

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.

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