TheQ-operator and functional relations of the eight-vertex model at root-of-unity \eta = \frac{2m K}{N} for oddN

DOI10.1088/1751-8113/40/36/004zbMath1135.14035arXivcond-mat/0611316OpenAlexW2952588271MaRDI QIDQ5308765

Shih-shyr Roan

Publication date: 8 October 2007

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/0611316

zbMATH Keywords

\(Q\)-operatoreight-vertex model\(N\)-state chiral Potts modelFabricius-McCoy comparsion

Mathematics Subject Classification ID

Exactly solvable models; Bethe ansatz (82B23) Theta functions and abelian varieties (14K25) Matrix and operator functional equations (39B42)

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Extended T-systems, Q matrices and T-Q relations for $ \newcommand{\e}{{\rm e}} s\ell(2)$ models at roots of unity ⋮ Nearest-neighbour correlation functions for the supersymmetric XYZ spin chain and Painlevé VI ⋮ Elliptic pfaffians and solvable lattice models ⋮ New Q matrices and their functional equations for the eight vertex model at elliptic roots of unity ⋮ \(Q\)-operators for higher spin eight vertex models with a rational anisotropy parameter ⋮ 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) ⋮ \(Q\)-operators for higher spin eight vertex models with an even number of sites

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