Colours associated to non simply-laced Lie algebras and exact S-matrices
arXiv:hep-th/0010287 · doi:10.1016/S0370-2693(01)00164-2
Abstract
A new set of exact scattering matrices in 1+1 dimensions is proposed by solving the bootstrap equations. Extending earlier constructions of colour valued scattering matrices this new set has its colour structure associated to non simply-laced Lie algebras. This in particular leads to a coupling of different affine Toda models whose fusing structure has to be matched in a suitable manner. The definition of the new S-matrices is motivated by the semi-classical particle spectrum of the non simply-laced Homogeneous Sine-Gordon (HSG) models, which are integrable perturbations of WZNW cosets. In particular, the S-matrices of the simply-laced HSG models are recovered as a special case.
10 pages, TCI LaTeX (revised version to be published in PLB, Title changed and 2nd paragraph in the introduction rewritten.)
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