ADDITIONAL SYMMETRIES OF SUPERSYMMETRIC KP HIERARCHIES

Authors
Citation
S. Stanciu, ADDITIONAL SYMMETRIES OF SUPERSYMMETRIC KP HIERARCHIES, Communications in Mathematical Physics, 165(2), 1994, pp. 261-279
Citations number
20
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
ISSN journal
00103616
Volume
165
Issue
2
Year of publication
1994
Pages
261 - 279
Database
ISI
SICI code
0010-3616(1994)165:2<261:ASOSKH>2.0.ZU;2-V
Abstract
We investigate the additional symmetries of several supersymmetric KP hierarchies: the SKP hierachy of Manin and Radul, the SKP2 hierarchy, and the Jacobian SKP hierarchy. In all three cases we find that the al gebra of symmetries is isomorphic to the algebra of superdifferential operators, or equivalent SW 1 + infinity. These results seem to sugges t that despite their realization depending on the dynamics, the additi onal symmetries are kinematical in nature.