
TL;DR
This paper explores a broad class of realizations of W algebras derived from the Miura transformation, providing explicit formulas and discussing their applications in W-string theory.
Contribution
It introduces a comprehensive framework for realizing W algebras via the Miura transformation, expanding previous methods and applications.
Findings
Explicit formulas for all realizations of the considered class.
Connections between realizations and canonical subalgebras.
Applications in W-string theory.
Abstract
It has been known for some time that 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 algebras are based. We give explicit formulae for all realisations of this kind, and discuss their applications in -string theory.
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