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arXiv · 1109.6503

New symmetries of the chiral Potts model

Jens Fjelstad·Teresia Mansson
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Abstract

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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Jens Fjelstad, Teresia Mansson. 2011-09-29. New symmetries of the chiral Potts model. https://doi.org/10.1088/1751-8113/45/15/155208

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