Hidden nonlinear supersymmetries in pure parabosonic systems
High Energy Physics - Theory
2016-12-21 v3 High Energy Physics - Phenomenology
Mathematical Physics
math.MP
Quantum Physics
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.
Keywords
Cite
@article{arxiv.hep-th/9903130,
title = {Hidden nonlinear supersymmetries in pure parabosonic systems},
author = {Mikhail Plyushchay},
journal= {arXiv preprint arXiv:hep-th/9903130},
year = {2016}
}
Comments
20 pages, one reference corrected, to appear in Int. J. Mod. Phys. A