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Hidden geometrical structures in integrable models
Patrick Dorey
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 elemen…
Generalising the staircase models
Patrick Dorey, Francesco Ravanini
Systems of integral equations are proposed which generalise those previously encountered in connection with the so-called staircase models. Under the assumption that these equation…
Staircase Models from Affine Toda Field Theory
Patrick Dorey, Francesco Ravanini
We propose a class of purely elastic scattering theories generalising the staircase model of Al. B. Zamolodchikov, based on the affine Toda field theories for simply-laced Lie alge…
Partition Functions, Intertwiners and the Coxeter Element
Patrick Dorey
The partition functions of Pasquier models on the cylinder, and the associated intertwiners, are considered. It is shown that earlier results due to Saleur and Bauer can be rephras…