The spherical sector of the Calogero model as a reduced matrix model

Details The spherical sector of the Calogero model as a reduced matrix model The spherical sector of the Calogero model as a reduced matrix model

2011-10-24

arxiv.org/abs/1110.5352v2

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, 10 figures; v2: typos and references fixed, version published in NPB

Scientific paper

We investigate the matrix-model origin of the spherical sector of the rational Calogero model and its constants of motion. We develop a diagrammatic technique which allows us to find explicit expressions of the constants of motion and calculate their Poisson brackets. In this way we obtain all functionally independent constants of motion to any given order in the momenta. Our technique is related to the valence-bond basis for singlet states.

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