The spherical sector of the Calogero model as a reduced matrix model
arXiv:1110.5352 · doi:10.1016/j.nuclphysb.2012.01.002
Abstract
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.
14 pages, 10 figures; v2: typos and references fixed, version published in NPB
References in corpus (7)
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- Symmetries in superintegrable deformations of oscillator/Coulomb systems: "holomorphic factorization"
- Near horizon extremal Myers-Perry black holes and integrability of associated conformal mechanics
- Integrability and separation of variables in Calogero-Coulomb-Stark and two-center Calogero-Coulomb systems
- The structure of invariants in conformal mechanics
- On integrability of geodesics in near-horizon extremal geometries: Case of Myers-Perry black holes in arbitrary dimensions
- Spherical Calogero model with oscillator/Coulomb potential: classical case
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- deformation of angular Calogero models
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- Algebraic integrability of -deformed Calogero models
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