Hidden geometrical structures in integrable models

Details Hidden geometrical structures in integrable models Hidden geometrical structures in integrable models

1992-12-23

arxiv.org/abs/hep-th/9212143v2

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, preprint NI92018. (one minor elucidation in the last section)

Scientific paper

The bootstrap equations for the ADE series of purely elastic scattering theories have turned out to be intimately connected with the geometry of root systems and the Coxeter element. An informal review of some of this material is given, mentioning also a couple of other contexts -- the Pasquier models, and the simply-laced affine Toda field theories -- where similar structures are encountered. The relevance of twisted Coxeter elements is indicated, and a construction of these elements inspired by the twisted foldings of the affine Toda models is described.

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