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

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.

8 pages

References in corpus (1)

• Comments on Two-Loop Kac-Moody Algebras

Cited by in corpus (12)

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• Hamiltonian Structures of the Multi-Boson KP Hierarchies, Abelianization and Lattice Formulation
• Multi-Field Coset Space Realizations of $w_{1+\infty }$
• W-infinity structure of the $sl(N)$ conformal affine Toda theories
• On Non-Linear W-Infinity Symmetry of Generalized Liouville and Conformal Toda Models
• New negative grade solitonic sector for supersymmetric KdV and mKdV hierarchies