Algebra of the observables in the Calogero model and in the Chern-Simons matrix model

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dc.creatorJonke, L.
dc.creatorMeljanac, S.
dc.date2002-03-26
dc.date2002-10-18
dc.date.accessioned2026-07-07T11:48:00Z
dc.date.available2026-07-07T11:48:00Z
dc.descriptionThe algebra of observables of an N-body Calogero model is represented on the S_N-symmetric subspace of the positive definite Fock space. We discuss some general properties of the algebra and construct four different realizations of the dynamical symmetry algebra of the Calogero model. Using the fact that the minimal algebra of observables is common to the Calogero model and the finite Chern-Simons (CS) matrix model, we extend our analysis to the CS matrix model. We point out the algebraic similarities and distinctions of these models.
dc.description24 pages, misprints corrected, reference added, final version, to appear in PRB
dc.identifierhttps://arxiv.org/abs/hep-th/0203245
dc.identifierhttp://arxiv.org/abs/hep-th/0203245
dc.identifierPhys.Rev.B66:205313,2002
dc.identifierdoi:10.1103/PhysRevB.66.205313
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/202774
dc.subjectHigh Energy Physics - Theory
dc.titleAlgebra of the observables in the Calogero model and in the Chern-Simons matrix model
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