Zamolodchikov tetrahedral equation and higher Hamiltonians of \(2d\) quantum integrable systems

DOI10.3842/SIGMA.2017.031zbMath1368.81101arXiv1505.06579OpenAlexW1558093037MaRDI QIDQ2628006

Dmitry Talalaev

Publication date: 9 June 2017

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.06579

zbMATH Keywords

quantum integrable systemsstar-triangle transformationZamolodchikov tetrahedral equation

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Groups and algebras in quantum theory and relations with integrable systems (81R12) Yang-Baxter equations (16T25)

Related Items (1)

Integrable 3D statistical models on six-valent graphs

Cites Work

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• Functional tetrahedron equation
• On some questions related to the Krichever correspondence
• On discrete three-dimensional equations associated with the local Yang-Baxter relation
• Permutation-type solutions to the Yang - Baxter and othern-simplex equations
• Quandle cohomology and state-sum invariants of knotted curves and surfaces
• Zamolodchikov's tetrahedron equation and hidden structure of quantum groups
• Cohomologies ofn-simplex relations

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