New N=4 supersymmetric generalizations of U(2)-spin rational and hyperbolic Calogero systems are constructed using nonlinear indecomposable supermultiplets (1,4,3)⊃+(4,4,0).
Physics and Mathematics of Calogero particles
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abstract
We give a review of the mathematical and physical properties of the celebrated family of Calogero-like models and related spin chains.
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The quantum cubic Szegő equation exhibits integer spectra for its Hamiltonian and conserved hierarchies, indicating superintegrability beyond ordinary quantum integrability.
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${\cal N}{=}\,4$ supersymmetric multiparticle systems based on indecomposable multiplets
New N=4 supersymmetric generalizations of U(2)-spin rational and hyperbolic Calogero systems are constructed using nonlinear indecomposable supermultiplets (1,4,3)⊃+(4,4,0).
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A superintegrable quantum field theory
The quantum cubic Szegő equation exhibits integer spectra for its Hamiltonian and conserved hierarchies, indicating superintegrability beyond ordinary quantum integrability.