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).
Supersymmetric Calogero models by gauging
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abstract
New superconformal extensions of d=1 Calogero-type systems are obtained by gauging the U(n) isometry of matrix superfield models. We consider the cases of N=1, N=2 and N=4 one-dimensional supersymmetries. The bosonic core of the N=1 and N=2 models is the standard conformal A_{n-1} Calogero system, whereas the N=4 model is an extension of the U(2)-spin Calogero system.
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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).