The Topography of $\W_\infty$-Type Algebras

Abstract

We chart out the landscape of $\Winfty$-type algebras using $\Wkpq$---a recently discovered one-parameter deformation of $\W_{\rm KP}$. We relate all hitherto known $\Winfty$-type algebras to $\Wkpq$ and its reductions, contractions, and/or truncations at special values of the parameter.

15 pages, Plain TeX, BONN-HE-92-24, US-FT-8/92, KUL-TF-92/32. [This new version contains some minor revisions due to the revision of hep-th/9207092.]

References in corpus (2)

• W-symmetry in Conformal Field Theory
• The Classical Limit of W-Algebras

Cited by in corpus (9)

• Asymptotic W-symmetries in three-dimensional higher-spin gauge theories
• The algebra of q-pseudodifferential symbols and the q-W_{KP}^n algebra
• Higher Spin Lifshitz Theories and the KdV-Hierarchy
• Higher Spin Lifshitz Theory and Integrable Systems
• Classical Extended Conformal Algebras Associated with Constrained KP Hierarchy
• On Diff(S^1) Covariantization Of Pseudodifferential Operator
• The Algebra of Differential Operators on the Circle and $W_{KP}^{(q)}$
• Supersymmetric Integrable Hierarchies and String Theory
• Classical N=2 W-superalgebras From Superpseudodifferential Operators