Toda lattice field theories, discrete \(W\) algebras, Toda lattice hierarchies and quantum groups

DOI10.1016/0370-2693(96)01106-9zbMath0909.58072OpenAlexW3101137662WikidataQ64038592 ScholiaQ64038592MaRDI QIDQ1923132

L. P. Colatto, Loriano Bonora, Clisthenis P. Constantinidis

Publication date: 1 October 1996

Published in: Physics Letters. B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0370-2693(96)01106-9

zbMATH Keywords

continuum limitToda latticediscrete \(W_3\) algebra

Mathematics Subject Classification ID

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) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Applications of global analysis to the sciences (58Z05) Quantum field theory on lattices (81T25) Continuum limits in quantum field theory (81T27) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)

Cites Work

• Unnamed Item
• Exchange formula and lattice deformation of the Virasoro algebra
• Nonperturbative model of Liouville gravity
• Lattice analogue of the \(W_\infty\) algebra and discrete KP-hierarchy
• Jimbo's q-analogues and current algebras
• Integrable discrete linear systems and one-matrix random models
• Exact correlators of two-matrix models
• Geometry of Higgs and Toda fields on Riemann surfaces
• Toda lattice realization of integrable hierarchies
• A NOTE ON THE ANTIBRACKET FORMALISM

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