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

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• 作者：Kersten ; P.H.M. ; Sorin ; A.S.
• 关键词：02.20.Sv ; 02.30.Jr ; 11.30.Pb ; Completely integrable systems ; Supersymmetry ; Discrete symmetries ; Recursion operator ; Bi-Hamiltonian structure
• 刊名：Physics Letters A
• 出版年：2002
• 期刊代码：57_03759601
• 类别：ph
• 出版时间：August 5, 2002
• 卷：300
• 期：4-5
• 页码：397-406
• 文件大小：113 K

摘要

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.