Extended superconformal symmetry and Calogero-Marchioro model

Details Extended superconformal symmetry and Calogero-Marchioro model Extended superconformal symmetry and Calogero-Marchioro model

2000-09-08

arxiv.org/abs/hep-th/0009055v3

J.Phys.A34:5583-5592,2001

Physics

High Energy Physics

High Energy Physics - Theory

18 pages, RevTeX, No figures; Added clarifications & discussions, Change in format, version to appear in Journal of Physics A

Scientific paper

10.1088/0305-4470/34/27/308

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 OSp(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.

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