Duality and Symmetry in Chiral Potts Model
نویسنده
چکیده
We discover a Ising-type duality in the general N -state chiral Potts model, which is the Kramers-Wannier duality of planar Ising model when N = 2. This duality relates the spectrum and eigenvectors of one chiral Potts model at a low temperature (of small k) to those of another chiral Potts model at a high temperature (of k). The τ -model and chiral Potts model on the dual lattice are established alongside of the dual chiral Potts models. With the aid of this duality relation, we exact a precise relationship between the Onsager-algebra symmetry of a homogeneous superintegrable chiral Potts model and the sl2-loop-algebra symmetry of its associated spin2 XXZ chain through the identification of their eigenstates. 2008 PACS: 05.50.+q, 02.20.Uw, 75.10Pq 2000 MSC: 14H81, 17B37, 17B80
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