Particles and Strings in a 2 + 1-D Integrable Quantum Model

DOI10.2991/jnmp.2000.7.1.7zbMath0957.81063arXivsolv-int/9801013OpenAlexW2165972717MaRDI QIDQ4498274

Igor G. Korepanov

Publication date: 15 August 2000

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/solv-int/9801013

zbMATH Keywords

Yang-Baxter equationBethe ansatzZamolodchikov modeltetrahedron equation2+1-dimensional integrable quantum modelstransfer matrix eigenstates

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Exactly solvable models; Bethe ansatz (82B23) Groups and algebras in quantum theory and relations with integrable systems (81R12) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20)

Cites Work

• New solvable lattice models in three dimensions
• Tetrahedral Zamolodchikov algebras corresponding to Baxter's \(L\)- operators
• Ψ-VECTORS FOR THREE-DIMENSIONAL MODELS
• Functional relations and nested Bethe ansatz forsl(3) chiral Potts model at
• SPATIAL SYMMETRY, LOCAL INTEGRABILITY AND TETRAHEDRON EQUATIONS IN THE BAXTER-BAZHANOV MODEL
• Labelling schemes for tetrahedron equations and dualities between them
• QUANTUM MODEL OF INTERACTING "STRINGS" ON THE SQUARE LATTICE

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