On Coset Reductions of KP Hierarchies

Abstract

In this talk the class of multi-fields reductions of the KP and super-KP hierarchies (leading to non-purely differential Lax operators) is revisited from the point of view of coset construction. This means in particular that all the hamiltonian densities of the infinite tower belong to a coset algebra of a given Poisson brackets structure.

8 pages, LaTex, Talk given at Alushta, June 1994

References in corpus (6)

• Beyond the Large N Limit: Non-linear W(infinity) as symmetry of the SL(2,R)/U(1) coset model
• An alternative approach to KP hierarchy in matrix models
• On Two-Current Realization of KP Hierarchy
• Nonlinear ${\hat{W}}_{\infty }$ Current Algebra in the SL(2,R)/U(1) Coset Model
• Integrable structures in matrix models and physics of 2d-gravity
• Generalized NLS Hierarchies from Rational $W$ Algebras