Root Systems and Purely Elastic S-Matrices II
High Energy Physics - Theory
2010-11-01 v1
Abstract
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.
Keywords
Cite
@article{arxiv.hep-th/9110058,
title = {Root Systems and Purely Elastic S-Matrices II},
author = {Patrick Dorey},
journal= {arXiv preprint arXiv:hep-th/9110058},
year = {2010}
}
Comments
21 pages