A Note of W-algebra Realisations

Abstract

We provide a general description of realisations of W--algebras in terms of smaller W--algebras and free fields. This is based on the definition of the W--algebra as the commutant of a set of screening charges. This is conjectured to be related to partial gauge-fixings in the Hamiltonian reduction model.

8 pages

References in corpus (3)

• On the classification of quantum W-algebras
• The Complete Spectrum of the $W_N$ String
• New Realisations of W Algebras and W Strings

Cited by in corpus (3)

• Free Field Realization of $N=2$ Super $W_3$ Algebra
• On the generalized Miura transformation
• On Realisations of W Algebras