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Symmetries of the super KP hierarchy

✍ Scribed by K. Takasaki

Publisher
Springer
Year
1989
Tongue
English
Weight
307 KB
Volume
17
Category
Article
ISSN
0377-9017

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✦ Synopsis

Symmetries of the super Kadomtsev-Petviashvili hierarchy are studied. A key role is played by a ~-module structure, which connects the nonlinear system with the geometry of an infinite-dimensional super Grassmannian manifold. Infinitesimal action of a Lie superalgebra on the super Grassmannian manifold, via this connection, gives rise to symmetries of the nonlinear system.

πŸ“œ SIMILAR VOLUMES

Super KP equations and Darboux transform
Super KP equations and Darboux transformations: another perspective on the Jacobian Super KP hierarchy
✍ Gregorio Falqui; Cesare Reina; Alessandro Zampa πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 214 KB

We generalize to the supersymmetric case the representation of the KP hierarchy as a set of conservation laws for the generating series of the conserved densities. We show that the hierarchy so obtained is isomorphic to the JSKP of Mulase and Rabin. We identify its "bosonic content" with the so-call