Polynomials Associated with Equilibria of Affine Toda-Sutherland Systems

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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9 pages

Scientific paper

10.1088/0305-4470/37/47/009

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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