Hidden geometrical structures in integrable models
Abstract
Description
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.
15 pages, preprint NI92018. (one minor elucidation in the last section)
15 pages, preprint NI92018. (one minor elucidation in the last section)