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New symmetries of the chiral Potts model
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New symmetries of the chiral Potts model
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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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Cited by 1 Pith paper
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Matrix-product state skeletons in Onsager-integrable quantum chains
Interacting N-state chiral clock chains have exact matrix-product-state eigenstates (the true ground states in gapped regions) whenever the Hamiltonian's Laurent polynomial is a perfect square, and these states form a...
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