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A characterization of “rapidity” curve in the chiral Potts model

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Abstract

We study the geometry of high genus curves of rapidity variables in chiral Potts model. In terms of symmetries, we characterize these Rieman surfaces and derive their period matrices. By the theory of prime forms, the temperature-like parameter is expressed by hyperelliptic theta functions.

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  1. Max-Planck-Institut für Mathematik, Gottfried-Claren-Straße 26, W-5300, Bonn 3, Federal Republic of Germany

    Shi-shyr Roan

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  1. Shi-shyr Roan
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Communicated by H. Araki

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Roan, Ss. A characterization of “rapidity” curve in the chiral Potts model. Commun.Math. Phys. 145, 605–634 (1992). https://doi.org/10.1007/BF02099400

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  • DOI: https://doi.org/10.1007/BF02099400

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