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

DOI10.1016/0370-2693(96)01106-9zbMath1054.81517arXivhep-th/9605193OpenAlexW3101137662WikidataQ64038592 ScholiaQ64038592MaRDI QIDQ1125634

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

Publication date: 13 December 1999

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

Full work available at URL: https://arxiv.org/abs/hep-th/9605193

zbMATH Keywords

Toda field theoryToda lattice hierarchyDiscrete W algebraN-KdV hierarchyQuantum W algebra

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) Model quantum field theories (81T10) Continuum limits in quantum field theory (81T27) Groups and algebras in quantum theory and relations with integrable systems (81R12) Lattice dynamics; integrable lattice equations (37K60)

Related Items

Lattice \(W_N\) algebra and its quantization

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
• Multi-field representations of the KP hierarchy and multi-matrix models
• Quantum \(\text{sl}_ n\) Toda field theories.
• Integrable discrete linear systems and one-matrix random models
• Intersection theory on the moduli space of curves and the matrix Airy function
• Representation theory of lattice current algebras
• Geometry of Higgs and Toda fields on Riemann surfaces
• Toda lattice realization of integrable hierarchies
• Miura transformation on a lattice

This page was built for publication: Toda lattice field theories, discrete \(W\) algebras, Toda lattice hierarchies and quantum groups.