Conserved charges and soliton solutions in affine Toda theory

DOI10.1016/0550-3213(94)00519-KzbMath1020.81835arXivhep-th/9408092OpenAlexW2081726413MaRDI QIDQ1571419

Michael Freeman

Publication date: 10 July 2000

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

Full work available at URL: https://arxiv.org/abs/hep-th/9408092

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)

Related Items (8)

Exact \(S\)-matrices for \(d_{n+1}^{(2)}\) affine Toda solitons and their bound states ⋮ Vertex operators, semiclassical limit for soliton \(S\)-matrices and the number of bound states in affine Toda field theories. ⋮ Toda soliton mass corrections and the particle-soliton duality conjecture ⋮ Coxeter element and particle masses ⋮ Solitons, \(\tau\)-functions and Hamiltonian reduction for non-abelian conformal affine Toda theories. ⋮ Non-unitarity in quantum affine Toda theory and perturbed conformal field theory ⋮ Tau-functions generating the conservation laws for generalized integrable hierarchies of KdV and affine Toda type ⋮ Quantum Affine Toda Solitons

Cites Work

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• A note on affine Toda couplings
• AFFINE SOLITONS: A RELATION BETWEEN TAU FUNCTIONS, DRESSING AND BÄCKLUND TRANSFORMATIONS
• The Betti Numbers of the Simple Lie Groups

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