Duality and symmetry in chiral Potts model

DOI10.1088/1742-5468/2009/08/P08012zbMath1456.82319arXiv0905.1924OpenAlexW3101758983MaRDI QIDQ3301100

Shih-shyr Roan

Publication date: 11 August 2020

Published in: Journal of Statistical Mechanics: Theory and Experiment (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0905.1924

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Exactly solvable models; Bethe ansatz (82B23) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Some comments on the solvable chiral Potts model
• An algebraic derivation of the eigenspaces associated with an Ising-like spectrum of the superintegrable chiral Potts model
• The \(L(\mathfrak{sl}_2)\) symmetry of the Bazhanov-Stroganov model associated with the superintegrable chiral Potts model
• Yang-Baxter equation and representation theory. I
• Cyclic representations of \(U_ q({\mathfrak sl}(n +1,\mathbb{C}))\) at \(q^ N=1\)
• New \(R\) matrices associated with cyclic representations of \(U_ q(A_ 2^{(2)})\)
• Corner transfer matrices of the chiral Potts model. II: The triangular lattice
• Functional equations and fusion matrices for the eight vertex model
• The ``inversion relation method for obtaining the free energy of the chiral Potts model
• Free energy of the solvable chiral Potts model.
• The order parameter of the chiral Potts model
• Chiral Potts model with skewed boundary conditions
• Transfer matrix functional relations for the generalized \(\tau_2(t_q)\) model
• Chiral Potts model as a descendant of the six-vertex model
• TheQ-operator for root-of-unity symmetry in the six-vertex model
• Fusion operators in the generalized τ⁽²⁾-model and root-of-unity symmetry of theXXZspin chain of higher spin
• Eigenvectors in the superintegrable model I: {\frak{sl}}_2 generators
• On theτ⁽²⁾-model in the chiral Potts model and cyclic representation of the quantum groupU_q(sl₂)
• Eigenvectors in the superintegrable model II: ground-state sector
• Onsager’s algebra and the Dolan–Grady condition in the non-self-dual case
• The structure of quotients of the Onsager algebra by closed ideals *
• Interfacial tension of the chiral Potts model
• The Onsager algebra symmetry of τ^(j)-matrices in the superintegrable chiral Potts model
• The transfer matrix of a superintegrable chiral Potts model as theQoperator of root-of-unity XXZ chain with cyclic representation of U_{\mathsf {q}}(sl_2)
• Onsager's algebra and superintegrability
• The \(sl_2\) loop algebra symmetry of the six-vertex model at roots of unity

This page was built for publication: Duality and symmetry in chiral Potts model