A Bi-Hamiltonian Supersymmetric Geodesic Equation

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作者
Jonatan Lenells
机构
[1] University of Cambridge,Department of Applied Mathematics and Theoretical Physics
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37K10; 17A70; supersymmetry; integrable systems; Hunter–Saxton equation;
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摘要
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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页码:55 / 63
页数:8
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