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arXiv · 0803.4037

A conjecture for the superintegrable chiral Potts model

R. J. Baxter
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Abstract

We adapt our previous results for the ``partition function'' of the superintegrable chiral Potts model with open boundaries to obtain the corresponding matrix elements of e^{-αH}, where H is the associated hamiltonian. The spontaneous magnetization M_r can be expressed in terms of particular matrix elements of e^{-αH} S^r_1 \e^{-βH}, where S_1 is a diagonal matrix.We present a conjecture for these matrix elements as an m by m determinant, where m is proportional to the width of the lattice. The author has previously derived the spontaneous magnetization of the chiral Potts model by analytic means, but hopes that this work will facilitate a more algebraic derivation, similar to that of Yang for the Ising model.

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R. J. Baxter. 2008-07-12. A conjecture for the superintegrable chiral Potts model. https://doi.org/10.1007/s10955-008-9588-x

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