Additional Symmetries of Supersymmetric KP Hierarchies

Details Additional Symmetries of Supersymmetric KP Hierarchies Additional Symmetries of Supersymmetric KP Hierarchies

1993-09-10

arxiv.org/abs/hep-th/9309058v3

Commun.Math.Phys. 165 (1994) 261-280

Physics

High Energy Physics

High Energy Physics - Theory

21 pages, Plain TeX, BONN-HE-93-31

Scientific paper

10.1007/BF02099771

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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