Many-body integrable systems implied by WLZZ models
А. Миронов, А. Морозов
Abstract
We provide some details about the recently discovered integrable systems implied by commutativity of W operators along the rays on the plane of roots of w∞-algebra. The simplest system of this type is the rational Calogero model, other systems escaped attention in the past. Existence of these systems is intimately tied to the very interesting WLZZ matrix models, which are now under intensive study.
Topics & Concepts
Integrable systemPhysicsCommutative propertyPlane (geometry)Type (biology)Theoretical physicsAlgebra over a fieldMatrix (chemical analysis)Mathematical physicsPure mathematicsGeometryMathematicsEcologyBiologyMaterials scienceComposite materialAlgebraic structures and combinatorial modelsNonlinear Waves and SolitonsBlack Holes and Theoretical Physics