On Realisations of W Algebras

Abstract

It has been known for some time that $W$ algebras can be realised in terms of an energy-momentum tensor together with additional free scalar fields. Some recent results have shown that more general realisations are also possible. In this paper, we consider a wide class of realisations that may be obtained from the Miura transformation, related to the existence of canonical subalgebras of the Lie algebras on which the $W$ algebras are based. We give explicit formulae for all realisations of this kind, and discuss their applications in $W$-string theory.

11 pages

References in corpus (4)

• The Complete Spectrum of the $W_N$ String
• The $W_3$-string spectrum
• New Realisations of W Algebras and W Strings
• A Note of W-algebra Realisations

Cited by in corpus (5)

• Toward the construction of N=2 supersymmetric integrable hierarchies
• On the BRST Operator of $W$-Strings
• Interacting Theory of Collective and Topological Fields in 2 Dimensions
• Free Field Realization of $N=2$ Super $W_3$ Algebra
• On the generalized Miura transformation