A bi-Hamiltonian supersymmetric geodesic equation

Details A bi-Hamiltonian supersymmetric geodesic equation A bi-Hamiltonian supersymmetric geodesic equation

2008-06-29

arxiv.org/abs/0806.4793v1

Lett. Math. Phys. 85 (2008), 55--63.

Physics

Mathematical Physics

9 pages, no figures

Scientific paper

10.1007/s11005-008-0257-4

A supersymmetric extension of the Hunter-Saxton equation is constructed. We
present its bi-Hamiltonian structure and show that it arises geometrically as a
geodesic equation on the space of superdiffeomorphisms of the circle that leave
a point fixed endowed with a right-invariant metric.

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