A New Deformation of W-Infinity and Applications to the Two-loop WZNW and Conformal Affine Toda Models

TL;DR

This paper introduces a novel deformation of the W-infinity algebra and demonstrates its application to establish W-infinity invariance in two-loop WZNW and conformal affine Toda models, linking algebraic structures to integrable models.

Contribution

It presents a new deformation of the W-infinity algebra and applies it to prove invariance properties of specific integrable models.

Findings

Deformation technique applies to two-loop WZNW and Toda models.

Established W-infinity invariance in these models.

Connected algebraic deformation with integrable field theories.

Abstract

We construct a centerless W-infinity type of algebra in terms of a generator of a centerless Virasoro algebra and an abelian spin-1 current. This algebra conventionally emerges in the study of pseudo-differential operators on a circle or alternatively within KP hierarchy with Watanabe's bracket. Construction used here is based on a special deformation of the algebra $w_{\infty}$ of area preserving diffeomorphisms of a 2-manifold. We show that this deformation technique applies to the two-loop WZNW and conformal affine Toda models, establishing henceforth $W_{\infty}$ invariance of these models.