Vertex operators, semiclassical limit for soliton S-matrices and the number of bound states in Affine Toda Field Theories
arXiv:hep-th/9909128 · doi:10.1016/S0550-3213(00)00104-8
Abstract
Soliton time-delays and the semiclassical limit for soliton S-matrices are calculated for non-simply laced Affine Toda Field Theories. The phase shift is written as a sum over bilinears on the soliton conserved charges. The results apply to any two solitons of any Affine Toda Field Theory. As a by-product, a general expression for the number of bound states and the values of the coupling in which the S-matrix can be diagonal are obtained. In order to arrive at these results, a vertex operator is constructed, in the principal gradation, for non-simply laced affine Lie algebras, extending the previous constructions for simply laced and twisted affine Lie algebras.
13 pages, LaTeX; some references added and some typos corrected
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