Extended superconformal symmetry and Calogero-Marchioro model

We show that the two-dimensional Calogero-Marchioro model (CMM) without the harmonic confinement can naturally be embedded into an extended SU(1, 1/2) superconformal Hamiltonian. We study the quantum evolution of the superconformal Hamiltonian in terms of suitable compact operators of the N = 2 extended de Sitter superalgebra with central charge and discuss the pattern of supersymmetry breaking. We also study the arbitrary D-dimensional CMM having dynamical O Sp (2/2) supersymmetry and point out the relevance of this model in the context of the low energy effective action of the dimensionally reduced Yang-Mills theory.