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arXiv · hep-th/9109009

Bi-Hamiltonian Sturcture of Super KP Hierarchy

Feng Yu
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Abstract

We obtain the bi-Hamiltonian structure of the super KP hierarchy based on the even super KP operator $Λ= θ^{2} + \sum^{\infty}_{i=-2}U_{i} θ^{-i-1}$, as a supersymmetric extension of the ordinary KP bi-Hamiltonian structure. It is expected to give rise to a universal super $W$-algebra incorporating all known extended superconformal $W_{N}$ algebras by reduction. We also construct the super BKP hierarchy by imposing a set of anti-self-dual constraints on the super KP hierarchy.

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Feng Yu. 1991-09-06. Bi-Hamiltonian Sturcture of Super KP Hierarchy. https://arxiv.org/abs/hep-th/9109009

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