TL;DR
This paper offers a general framework for realizing W-algebras using smaller W-algebras and free fields, based on their definition as commutants of screening charges, with conjectured links to gauge-fixing in Hamiltonian reduction.
Contribution
It introduces a unified approach to W-algebra realizations through smaller algebras and free fields, expanding understanding of their structure and connections to gauge theories.
Findings
Provides a general description of W-algebra realizations
Connects W-algebra definitions to screening charges and gauge-fixings
Suggests a conjectured relationship with Hamiltonian reduction
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.
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