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Polynomials Associated with Equilibria of Affine Toda-Sutherland Systems

High Energy Physics - Theory 2009-11-10 v1

Abstract

An affine Toda-Sutherland system is a quasi-exactly solvable multi-particle dynamics based on an affine simple root system. It is a `cross' between two well-known integrable multi-particle dynamics, an affine Toda molecule and a Sutherland system. Polynomials describing the equilibrium positions of affine Toda-Sutherland systems are determined for all affine simple root systems.

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Cite

@article{arxiv.hep-th/0407259,
  title  = {Polynomials Associated with Equilibria of Affine Toda-Sutherland Systems},
  author = {S. Odake and R. Sasaki},
  journal= {arXiv preprint arXiv:hep-th/0407259},
  year   = {2009}
}

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9 pages