Affine Toda Solitons and Automorphisms of Dynkin Diagrams

Abstract

Using Hirota's method, solitons are constructed for affine Toda field theories based on the simply-laced affine algebras. By considering automorphisms of the simply-laced Dynkin diagrams, solutions to the remaining algebras, twisted as well as untwisted, are deduced.

21 pages

References in corpus (1)

• Connection between the Affine and Conformal Affine Toda Models and their Hirota's Solution

Cited by in corpus (34)

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• Vertex Operators and Soliton Time Delays in Affine Toda Field Theory
• A new class of integrable defects
• Multi--Soliton Solutions of Affine Toda Models
• Quantum Soliton Mass Corrections in SL(N) Affine Toda Theory
• Exact S-Matrices for Bound States of $a_2^{(1)}$ Affine Toda Solitons
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• Crossing and Antisolitons in Affine Toda Theories
• Tau-Functions generating the Conservation Laws for Generalized Integrable Hierarchies of KdV and Affine-Toda type
• Quantum mass corrections for affine Toda solitons
• Conserved charges and soliton solutions in affine Toda theory
• Folding defect affine Toda field theories
• Momentum conserving defects in affine Toda field theories
• Toda Soliton Mass Corrections and the Particle--Soliton Duality Conjecture
• Aspects of Non-Abelian Toda Theories
• Solitons and Vertex Operators in Twisted Affine Toda Field Theories
• Exact quantum S-matrices for solitons in simply-laced affine Toda field theories
• Quantum Mass corrections for C_2^(1) Affine Toda theory solitons
• Quantum Affine Symmetry and Scattering Amplitudes of the Imaginary Coupled d_4(3) Affine Toda Field Theory
• The rational dressing for abelian twisted loop Toda systems
• Integrability of generalised type II defects in affine Toda field theory
• Abelian Toda solitons revisited
• Reality of Complex Affine Toda Solitons
• $A_n^{(1)}$ Toda solitons and the dressing symmetry
• More non-Abelian loop Toda solitons
• Vertex operators, semiclassical limit for soliton S-matrices and the number of bound states in Affine Toda Field Theories
• Darboux transformations for two dimensional elliptic affine Toda equations
• Solving non-abelian loop Toda equations
• Vertex Operator Representation of the Soliton Tau Functions in the $A_n^{(1)}$ Toda Models by Dressing Transformations
• Finite dimensional Hamiltonian system related to Lax pair with symplectic and cyclic symmetries