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Additional symmetries of supersymmetric KP hierarchies

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Abstract

We investigate the additional symmetries of several supersymmetric KP ierarchiess: the SKP hierarcy 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 supperdifferential operators, or equivalentlySW 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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  1. Physikalisches Institut der Universeität Bonn, Nussallee 12, D-53115, Bonn, Germany

    Sonia Stanciu

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  1. Sonia Stanciu
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Communicated by M. Jimbo

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Stanciu, S. Additional symmetries of supersymmetric KP hierarchies. Commun.Math. Phys. 165, 261–279 (1994). https://doi.org/10.1007/BF02099771

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  • DOI: https://doi.org/10.1007/BF02099771

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