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

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

1995-06-26

arxiv.org/abs/hep-th/9506169v2

Nucl.Phys. B457 (1995) 240-272

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1016/0550-3213(95)00462-9

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.

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