Twisted algebra R-matrices and S-matrices for $b_n^{(1)}$ affine Toda solitons and their bound states

Abstract

We construct new $U_q(a_{2n-1}^{(2)})$ and $U_q(e_6^{(2)})$ invariant $R$-matrices and comment on the general construction of $R$-matrices for twisted algebras. We use the former to construct $S$-matrices for $b_n^{(1)}$ affine Toda solitons and their bound states, identifying the lowest breathers with the $b_n^{(1)}$ particles.

Latex, 24 pages. Various misprints corrected. New section added clarifying relationship between R-matrices and S-matrices

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Cited by in corpus (21)

• 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
• Integrability of Coupled Conformal Field Theories
• Twisted Quantum Affine Superalgebra $U_q[sl(2|2{)}^{(2)}]$, $U_q[osp(2|2)]$ Invariant R-matrices and a New Integrable Electronic Model
• Non-unitarity in quantum affine Toda theory and perturbed conformal field theory
• Thermodynamics of the Complex su(3) Toda Theory
• Loop symmetry of integrable vertex models at roots of unity
• Trigonometric S-Matrices, Affine Toda Solitons and Supersymmetry
• Twisted Quantum Affine Superalgebra $U_q[gl(m|n{)}^{(2)}]$ and New $U_q[osp(m|n)]$ Invariant R-matrices
• 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
• R-matrices and Tensor Product Graph Method
• Quantum Affine Symmetry and Scattering Amplitudes of the Imaginary Coupled d_4(3) Affine Toda Field Theory
• One-point functions in integrable coupled minimal models
• Remarks on excited states of affine Toda solitons
• Quasi-Spin Graded-Fermion Formalism and $gl(m|n)\downarrow osp(m|n)$ Branching Rules
• Breathers in the elliptic sine-Gordon model
• 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
• Intertwiners of representations of twisted quantum affine algebras
• Quantum affine Toda solitons