Abstract
The bi-Hamiltonian structure of the super KP hierarchy is obtained based on the even super KP operator Λ=θ2+∑i=−2∞Uiθ−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 WN algebras by reduction. Also constructed is the super BKP hierarchy by imposing a set of anti-self-dual constraints on the super KP hierarchy.
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