Affine Toda Solitons and Systems of Calogero-Moser Type

Abstract

The solitons of affine Toda field theory are related to the spin-generalised Ruijsenaars-Schneider (or relativistic Calogero-Moser) models. This provides the sought after extension of the correspondence between the sine-Gordon solitons and the Ruijsenaars-Schneider model.

11 pages Latex2e. Some typos corrected

References in corpus (3)

• Supersymmetric Yang-Mills Systems And Integrable Systems
• Integrable systems and supersymmetric gauge theory
• Quantization of Solitons and the Restricted Sine-Gordon Model

Cited by in corpus (14)

• The Ruijsenaars-Schneider Model in the Context of Seiberg-Witten Theory
• Poisson-Lie analogues of spin Sutherland models
• On the Hamiltonian formulation of the trigonometric spin Ruijsenaars-Schneider system
• On Hamiltonian structure of the spin Ruijsenaars-Schneider model
• Integrable discretizations of the spin Ruijsenaars-Schneider models
• Poisson involutions, spin Calogero-Moser systems associated with symmetric Lie subalgebras and the symmetric space spin Ruijsenaars-Schneider models
• Bi-Hamiltonian structure of a dynamical system introduced by Braden and Hone
• Reduction of a bi-Hamiltonian hierarchy on $T^{\ast }\mathrm{U}(n)$ to spin Ruijsenaars--Sutherland models
• From solitons to many-body systems
• $A_n^{(1)}$ Toda solitons and the dressing symmetry
• Reflection Maps Associated with Involutions and Factorization Problems, and Their Poisson Geometry
• The nondynamical r-matrix structure of the elliptic Calogero-Moser model
• The nondynamical r-matrix structure for the elliptic $A_{n-1}$ Calogero-Moser model
• Vertex Operator Representation of the Soliton Tau Functions in the $A_n^{(1)}$ Toda Models by Dressing Transformations