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).
OSp(4|2) Superconformal Mechanics
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abstract
A new superconformal mechanics with OSp(4|2) symmetry is obtained by gauging the U(1) isometry of a superfield model. It is the one-particle case of the new N=4 super Calogero model recently proposed in arXiv:0812.4276 [hep-th]. Classical and quantum generators of the osp(4|2) superalgebra are constructed on physical states. As opposed to other realizations of N=4 superconformal algebras, all supertranslation generators are linear in the odd variables, similarly to the N=2 case. The bosonic sector of the component action is standard one-particle (dilatonic) conformal mechanics accompanied by an SU(2)/U(1) Wess-Zumino term, which gives rise to a fuzzy sphere upon quantization. The strength of the conformal potential is quantized.
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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).