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

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

1992-01-13

arxiv.org/abs/hep-th/9201024v1

Phys.Lett. B293 (1992) 67-71

Physics

High Energy Physics

High Energy Physics - Theory

8 pages

Scientific paper

10.1016/0370-2693(92)91481-N

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.

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