Root Systems and Purely Elastic S-Matrices II

Details Root Systems and Purely Elastic S-Matrices II Root Systems and Purely Elastic S-Matrices II

1991-10-21

arxiv.org/abs/hep-th/9110058v1

Nucl.Phys.B374:741-762,1992

Physics

High Energy Physics

High Energy Physics - Theory

21 pages

Scientific paper

10.1016/0550-3213(92)90407-3

Starting from a recently-proposed general formula, various properties of the ADE series of purely elastic S-matrices are rederived in a universal way. In particular, the relationship between the pole structure and the bootstrap equations is shown to follow from properties of root systems. The discussion leads to a formula for the signs of the three-point couplings in the simply-laced affine Toda theories, and a simple proof of a result due to Klassen and Melzer of relevance to Thermodynamic Bethe Ansatz calculations.

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