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

DOI10.1016/0550-3213(96)00054-5zbMath1002.81510arXivhep-th/9509007OpenAlexW1999048718MaRDI QIDQ1910469

Gérard M. T. Watts, Georg M. Gandenberger, Niall J. MacKay

Publication date: 10 April 1996

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9509007

zbMATH Keywords

particle spectrumquantized enveloping algebrasaffine algebrasToda field theories

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10)

Related Items

TRIGONOMETRIC S MATRICES, AFFINE TODA SOLITONS AND SUPERSYMMETRY ⋮ On soliton quantum \(S\)-matrices in simply laced affine Toda field theories ⋮ R-MATRICES AND THE TENSOR PRODUCT GRAPH METHOD ⋮ 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 ⋮ Local conserved charges in principal chiral models ⋮ Vertex operators, semiclassical limit for soliton \(S\)-matrices and the number of bound states in affine Toda field theories. ⋮ Loop symmetry of integrable vertex models at roots of unity ⋮ Integrability of coupled conformal field theories ⋮ Exact form factors in integrable quantum field theories: The sine-Gordon model ⋮ Non-unitarity in quantum affine Toda theory and perturbed conformal field theory ⋮ Twisted quantum affine superalgebra \(U_q[\text{gl}(m|n)^{(2)}\) and new \(U_q[\text{osp}(m|n)]\) invariant \(R\)-matrices] ⋮ Quasispin graded-fermion formalism and gl(m|n)↓osp(m|n) branching rules ⋮ Quantum Affine Toda Solitons

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