Extended superconformal symmetry and Calogero-Marchioro model
arXiv:hep-th/0009055 · doi:10.1088/0305-4470/34/27/308
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 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.
18 pages, RevTeX, No figures; Added clarifications & discussions, Change in format, version to appear in Journal of Physics A : Mathematical & General; Corrected typos
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- Comments on N=4 Superconformal Extension of the Calogero Model
- Super-Calogero model with OSp(2|2) supersymmetry : is the construction unique?
- Generalized Calogero model in arbitrary dimensions
- Interacting families of Calogero-type particles and SU(1,1) algebra
- Quantized Normal Matrices: Some Exact Results and Collective Field Formulation
- Deconstructing non-Dirac-hermitian supersymmetric quantum systems
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- 2D Calogero Model in the Collective-Field Approach