The Toda\(_2\) chain

DOI10.1007/s11005-018-1111-yzbMath1411.81107arXiv1803.05813OpenAlexW2791035495MaRDI QIDQ1737043

O. Babelon, Karol Kajetan Kozlowski, Vincent Pasquier

Publication date: 26 March 2019

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.05813

zbMATH Keywords

Friedel-Maillet schemelattice Virasoronon-ultralocal Lax matrixToda\(_2\) chain

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Groups and algebras in quantum theory and relations with integrable systems (81R12)

Related Items (1)

Baxter Operator and Baxter Equation for q-Toda and Toda₂ Chains

Cites Work

• Exchange formula and lattice deformation of the Virasoro algebra
• Shift operator for nonabelian lattice current algebra
• On a trace functional for formal pseudo-differential operators and the symplectic structure of the Korteweg-deVries type equations
• Exact results for one-dimensional totally asymmetric diffusion models
• Multiple Hamiltonian structures for Toda-type systems
• Quadratic algebras and integrable systems

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