On Non-Linear W-Infinity Symmetry of Generalized Liouville and Conformal Toda Models

TL;DR

This paper demonstrates the invariance of generalized Liouville and Toda models under a non-linear ${ m f ilde{W}}_{\infty}$ algebra, linking these models to KP hierarchy through boson currents.

Contribution

It establishes the non-linear ${ m f ilde{W}}_{\infty}$ symmetry for generalized Liouville and Toda models and connects their generators to KP hierarchy currents.

Findings

Invariance under non-linear ${ m f ilde{W}}_{\infty}$ algebra shown.

Generators realized via two boson currents in KP hierarchy.

Extended conformal Toda models exhibit this symmetry.

Abstract

Invariance under non-linear ${\sf {\hat W}}_{\infty}$ algebra is shown for the two-boson Liouville type of model and its algebraic generalizations, the extended conformal Toda models. The realization of the corresponding generators in terms of two boson currents within KP hierarchy is presented.