Extended superconformal symmetry and Calogero-Marchioro model

PK Ghosh - Journal of Physics A: Mathematical and General, 2001 - iopscience.iop.org
Journal of Physics A: Mathematical and General, 2001iopscience.iop.org
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 Script 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 …
Abstract
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 Script 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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