The Super W_\INFTY Symmetry of the Manin-Radul Super KP Hierarchy

Abstract

We show that the Manin-Radul super KP hierarchy is invariant under super W_\infty transformations. These transformations are characterized by time dependent flows which commute with the usual flows generated by the conserved quantities of the super KP hierarchy.

(12 pages)

Cited by in corpus (4)

• Additional Symmetries of Supersymmetric KP Hierarchies
• Darboux Transformations for SUSY Integrable Systems
• Grassmannian Approach to Super KP Hierarchies
• The Algebra of Differential Operators on the Circle and $W_{KP}^{(q)}$