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arXiv · hep-th/9309058

Additional Symmetries of Supersymmetric KP Hierarchies

Sonia Stanciu
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Abstract

We investigate the additional symmetries of several supersymmetric KP hierarchies: the SKP hierarchy of Manin and Radul, the $\hbox{SKP}_2$ 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 $\SW_{1+\infty}$. These results seem to suggest that despite their realization depending on the dynamics, the additional symmetries are kinematical in nature.

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Sonia Stanciu. 1994-03-31. Additional Symmetries of Supersymmetric KP Hierarchies. https://doi.org/10.1007/bf02099771

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