Exact S-matrices for d_n+1^(2) affine Toda solitons and their bound states

G. M. Gandenberger, Niall MacKay

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We conjecture an exact S-matrix for the scattering of solitons in d(2)n+1 affine Toda field theory in terms of the R-matrix of the quantum group Uq(c(1)n). 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.
Original languageEnglish
Pages (from-to)240-272
Number of pages33
JournalNuclear Physics B
Issue number1-2
Publication statusPublished - 18 Dec 1995

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