The lattice Toda field theory for simple Lie algebras: Hamiltonian structure and \(\tau\)-function

DOI10.1016/S0550-3213(00)00265-0zbMath0984.81058WikidataQ127359381 ScholiaQ127359381MaRDI QIDQ5934928

Kazuhiro Hikami, Rei Inoue

Publication date: 14 May 2001

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

Mathematics Subject Classification ID

Virasoro and related algebras (17B68) 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) Groups and algebras in quantum theory and relations with integrable systems (81R12)

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Integral preserving discretization of 2D Toda lattices ⋮ Cluster realization of Weyl groups and \(q\)-characters of quantum affine algebras ⋮ The Baxter equation for quantum discrete Boussinesq equation

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