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Additional Symmetries of Supersymmetric KP Hierarchies | | Sonia Stanciu
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10 Sep 1993 | | Journal: | Commun.Math.Phys. 165 (1994) 261-280 | | Subject: | hep-th | | 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. | | Source: | arXiv, hep-th/9309058 | | Services: | Forum | Review | PDF | Favorites | |
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