N = 2 KP and KdV hierarchies in extended superspace
نویسندگان
چکیده
We give the formulation in extended superspace of an N = 2 super-symmetric KP hierarchy using chirality preserving pseudo-differential operators. We obtain two quadratic hamiltonian structures, which lead to different reductions of the KP hierarchy. In particular we find two different hierarchies with the N = 2 classical super-W n algebra as a hamiltonian structure. The relation with the formulation in N = 1 superspace is carried out.
منابع مشابه
KP and KdV hierarchies in extended superspace
We give the formulation in extended superspace of an N = 2 super-symmetric KP hierarchy using chirality preserving pseudo-differential operators. We obtain two quadratic hamiltonian structures, which lead to different reductions of the KP hierarchy. In particular we find two different hierarchies with the N = 2 classical super-W n algebra as a hamiltonian structure. The relation with the formul...
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