Supersymmetry versus Integrability in two-dimensional Classical Mechanics

Details Supersymmetry versus Integrability in two-dimensional Classical Mechanics Supersymmetry versus Integrability in two-dimensional Classical Mechanics

2003-07-14

arxiv.org/abs/hep-th/0307123v2

Annals Phys. 308 (2003) 664-691

Physics

High Energy Physics

High Energy Physics - Theory

28 pages, Added references

Scientific paper

Supersymmetric extensions of Hamilton-Jacobi separable Liouville mechanical
systems with two degrees of freedom are defined. It is shown that supersymmetry
can be implemented in this type of systems in two independent ways. The
structure of the constants of motion is unveiled and the entanglement between
integrability and supersymmetry is explored.

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