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Bi-Hamiltonian structure of the N=2 supersymmetric α=1 KdV hierarchy

P. H. M. Kersten·A. S. Sorin
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Abstract

The N=2 supersymmetric α=1 KdV hierarchy in N=2 superspace is considered and its rich symmetry structure is uncovered. New nonpolynomial and nonlocal, bosonic and fermionic symmetries and Hamiltonians, bi-Hamiltonian structure as well as a recursion operator connecting all symmetries and Hamiltonian structures of the N=2 α=1 KdV hierarchy are constructed in explicit form. It is observed that the algebra of symmetries of the N=2 supersymmetric α=1 KdV hierarchy possesses two different subalgebras of N=2 supersymmetry.

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P. H. M. Kersten, A. S. Sorin. 2002-01-30. Bi-Hamiltonian structure of the N=2 supersymmetric α=1 KdV hierarchy. https://doi.org/10.1016/s0375-9601(02)00852-6

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