Hidden supersymmetries in supersymmetric quantum mechanics

Details Hidden supersymmetries in supersymmetric quantum mechanics Hidden supersymmetries in supersymmetric quantum mechanics

2001-01-09

arxiv.org/abs/hep-th/0101053v2

Nucl.Phys. B604 (2001) 75-91

Physics

High Energy Physics

High Energy Physics - Theory

Misprints corrected, two refs. added. To appear in NPB

Scientific paper

10.1016/S0550-3213(01)00094-3

We discuss the appearance of additional, hidden supersymmetries for simple 0+1 $Ad(G)$-invariant supersymmetric models and analyse some geometrical mechanisms that lead to them. It is shown that their existence depends crucially on the availability of odd order invariant skewsymmetric tensors on the (generic) compact Lie algebra $\cal G$, and hence on the cohomology properties of the Lie algebra considered.

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