Colours associated to nonsimply-laced Lie algebras and exact S-matrices

Korff, C. (2001) Colours associated to nonsimply-laced Lie algebras and exact S-matrices. Physics Letters B, 501(3-4), pp. 289-296. (doi: 10.1016/S0370-2693(01)00164-2)

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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 nonsimply-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 semiclassical particle spectrum of the nonsimply-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.

Item Type:Articles
Glasgow Author(s) Enlighten ID:Korff, Professor Christian
Authors: Korff, C.
Subjects:Q Science > QA Mathematics
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Physics Letters B
Publisher:Elsevier BV
ISSN (Online):1873-2445
Published Online:07 March 2001

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