Algebraic geometry of the three-state chiral Potts model

DOI10.1007/BF02773383zbMath1025.14006MaRDI QIDQ5951515

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Publication date: 24 April 2003

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Jacobianautomorphism group of algebraic curvechiral Potts model

Mathematics Subject Classification ID

Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Jacobians, Prym varieties (14H40) Automorphisms of curves (14H37) Relationships between algebraic curves and physics (14H81)

Cites Work

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• Some comments on the solvable chiral Potts model
• Eight-vertex SOS model and generalized Rogers-Ramanujan-type identities
• Solvable lattice models related to the vector representation of classical simple Lie algebras
• Functional relations for the order parameters of the chiral Potts model
• Some hyperelliptic function identities that occur in the chiral Potts model
• CHIRAL POTTS MODEL: CORNER TRANSFER MATRICES AND PARAMETRIZATIONS
• Crystal Statistics. I. A Two-Dimensional Model with an Order-Disorder Transition

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