Antibracket as the Hamiltonian Structure of a classical integrable system

Details Antibracket as the Hamiltonian Structure of a classical integrable system Antibracket as the Hamiltonian Structure of a classical integrable system

1995-01-27

arxiv.org/abs/hep-th/9501129v1

Phys.Lett. B353 (1995) 483-487

Physics

High Energy Physics

High Energy Physics - Theory

Latex, 6 pages, no figures

Scientific paper

10.1016/0370-2693(95)00638-2

The time evolution in a supersymmetric extension of the Kodomtsev-Petviashvilli
hierarchy, a classical integrable system, is shown to be Hamiltonian. The
canonical bracket associated to the Hamiltonian evolution is the classical
analog of the antibracket encountered in the quantization of gauge theories.
This provides a new understanding of supersymmetric Hamiltonian systems.

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