The hyperbolic modular double and the Yang-Baxter equation

DOI10.2969/aspm/07610095zbMath1409.33014arXiv1511.00131OpenAlexW2963965948MaRDI QIDQ670875

Vyacheslav P. Spiridonov, Dmitry Chicherin

Publication date: 20 March 2019

Full work available at URL: https://arxiv.org/abs/1511.00131

zbMATH Keywords

Yang-Baxter equationSklyanin algebramodular doubleFaddeev-Volkov modelsolvable lattice models

Mathematics Subject Classification ID

Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Difference equations, scaling ((q)-differences) (39A13) Basic hypergeometric integrals and functions defined by them (33D60)

Related Items (4)

From principal series to finite-dimensional solutions of the Yang-Baxter equation ⋮ General modular quantum dilogarithm and beta integrals ⋮ The endless beta integrals ⋮ Universal \(R\)-matrix for the rational seven-vertex model

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