Extensions of the Virasoro Algebra and Gauged WZW Models
A. Sevrin, W. Troost
TL;DR
This paper constructs extended Virasoro algebras via gauged WZW models based on sl(2) embeddings, analyzing their structure, cohomology, and applications in extended gravity theories.
Contribution
It provides a realization of extended Virasoro algebras through gauged WZW models and computes their BRST cohomology and quantum closure.
Findings
Extended Virasoro algebra realized in gauged WZW models.
BRST cohomology computed for the extended algebra.
Application to extended gravity and quantum Miura transformation.
Abstract
To any non-trivial embedding of sl(2) in a (super) Lie algebra, one can associate an extension of the Virasoro algebra. We realize the extended Virasoro algebra in terms of a WZW model in which a chiral, solvable group is gauged, the gauge group being determined by the sl(2) embedding. The resulting BRST cohomology is computed and the field content of the extended Virasoro algebra is determined. The (quantum) closure of the extended Virasoro algebra is shown. Applications such as the quantum Miura transformation and the effective action of the associated extended gravity theory are discussed in detail.
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