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arXiv · hep-th/9903130

Hidden nonlinear supersymmetries in pure parabosonic systems

Mikhail Plyushchay
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Abstract

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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Mikhail Plyushchay. 1999-11-26. Hidden nonlinear supersymmetries in pure parabosonic systems. https://doi.org/10.1142/s0217751x00001981

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