A new deformation of W-infinity and applications to the two-loop WZNW and conformal affine Toda models
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Data
1992-12-01
Autores
Aratyn, H.
Ferreira, L. A. [UNESP]
Gomes, J. F. [UNESP]
Zimerman, A. H. [UNESP]
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Elsevier B.V.
Resumo
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 spherical deformation of the algebra W ∞ 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 ∞ invariance of these models.
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Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, v. 293, n. 1-2, p. 67-71, 1992.