Hidden nonlinear supersymmetries in pure parabosonic systems

Details Hidden nonlinear supersymmetries in pure parabosonic systems Hidden nonlinear supersymmetries in pure parabosonic systems

1999-03-15

arxiv.org/abs/hep-th/9903130v3

Int.J.Mod.Phys.A15:3679-3698,2000

Physics

High Energy Physics

High Energy Physics - Theory

20 pages, one reference corrected, to appear in Int. J. Mod. Phys. A

Scientific paper

10.1142/S0217751X0000198X

The existence of intimate relation between generalized statistics and supersymmetry is established by observation of hidden supersymmetric structure in pure parabosonic systems. This structure is characterized generally by a nonlinear superalgebra. The nonlinear supersymmetry of parabosonic systems may be realized, in turn, by modifying appropriately the usual supersymmetric quantum mechanics. The relation of nonlinear parabosonic supersymmetry to the Calogero-like models with exchange interaction and to the spin chain models with inverse-square interaction is pointed out.

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