Additional Symmetries of Supersymmetric KP Hierarchies
Abstract
We investigate the additional symmetries of several supersymmetric KP hierarchies: the SKP hierarchy of Manin and Radul, the SKP2 hierarchy, and the Jacobian SKP hierarchy. In all three cases we find that the algebra of symmetries is isomorphic to the algebra of superdifferential operators, or equivalently 1+∞. These results seem to suggest that despite their realization depending on the dynamics, the additional symmetries are kinematical in nature.
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