Exact S-matrices for d_{n+1}^{(2)} affine Toda solitons and their bound states

Abstract

We conjecture an exact S-matrix for the scattering of solitons in $d_{n+1}^{(2)}$ affine Toda field theory in terms of the R-matrix of the quantum group $U_q(c_n^{(1)})$. From this we construct the scattering amplitudes for all scalar bound states (breathers) of the theory. This S-matrix conjecture is justified by detailed examination of its pole structure. We show that a breather-particle identification holds by comparing the S-matrix elements for the lowest breathers with the S-matrix for the quantum particles in real affine Toda field theory, and discuss the implications for various forms of duality.

Some minor changes and misprints corrected. Version to appear in Nuclear Physics B, 40 pages, LATEX

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• Exact Form Factors in Integrable Quantum Field Theories: the Sine-Gordon Model
• Quantum group symmetry in sine-Gordon and affine Toda field theories on the half-line
• Twisted algebra R-matrices and S-matrices for $b_n^{(1)}$ affine Toda solitons and their bound states
• On a_2^(1) Reflection Matrices and Affine Toda Theories
• Non-unitarity in quantum affine Toda theory and perturbed conformal field theory
• Loop symmetry of integrable vertex models at roots of unity
• Trigonometric S-Matrices, Affine Toda Solitons and Supersymmetry
• The continuum limit of $a_{N-1}^{(2)}$ spin chains
• Exact quantum S-matrices for solitons in simply-laced affine Toda field theories
• The R-matrix of the U_q(d_4(3)) algebra and g_2(1) affine Toda field theory
• Quantum Affine Symmetry and Scattering Amplitudes of the Imaginary Coupled d_4(3) Affine Toda Field Theory
• Remarks on excited states of affine Toda solitons
• Universal boundary reflection amplitudes
• Breathers in the elliptic sine-Gordon model
• Integrable field theory with boundary conditions
• Solitons, Boundaries, and Quantum Affine Algebras
• Vertex operators, semiclassical limit for soliton S-matrices and the number of bound states in Affine Toda Field Theories
• Quantum affine Toda solitons