Conserved charges and soliton solutions in affine Toda theory

Abstract

We study the conserved charges of affine Toda field theories by making use of the conformally invariant extension of these theories. We compute the values of all charges for the single soliton solutions, and show that these are related to eigenvectors of the Cartan matrix of the finite-dimensional Lie algebra underlying the theory.

18 pages, plain tex, minor changes, references added

References in corpus (7)

• Quantum Solitons in Affine Toda Field Theories
• Affine Toda Solitons and Vertex Operators
• Hirota's Solitons in the Affine and the Conformal Affine Toda Models
• Affine Solitons: A Relation Between Tau Functions, Dressing and Bäcklund Transformations
• Affine Toda Solitons and Automorphisms of Dynkin Diagrams
• Connection between the Affine and Conformal Affine Toda Models and their Hirota's Solution
• Quantum Soliton Mass Corrections in SL(N) Affine Toda Theory

Cited by in corpus (11)

• Solitons, Tau-functions and Hamiltonian Reduction for Non-Abelian Conformal Affine Toda Theories
• A simple formula for the conserved charges of soliton theories
• Non-unitarity in quantum affine Toda theory and perturbed conformal field theory
• Exact S-matrices for d_{n+1}^{(2)} affine Toda solitons and their bound states
• Tau-Functions generating the Conservation Laws for Generalized Integrable Hierarchies of KdV and Affine-Toda type
• Soliton-preserving boundary condition in affine Toda field theories
• Quantum Lie algebras associated to $U_q(g{l}_n)$ and $U_q(s{l}_n)$
• Remarks on excited states of affine Toda solitons
• Coxeter element and particle masses
• Vertex operators, semiclassical limit for soliton S-matrices and the number of bound states in Affine Toda Field Theories
• Quantum affine Toda solitons