W-Algebras with two and three generators

authored by
R. Blumenhagen, M. Flohr, A. Kliem, W. Nahm, A. Recknagel, R. Varnhagen
Abstract

We construct all W-algebras of chiral fields which in addition to the energy-momentum density have a single generator of conformal dimension up to 8. Some of them were unexpected, which indicates that present conjectures concerning the classification of conformally invariant quantum field theories in two dimensions are rather incomplete. We also explicitly construct the W A3-algebra with generators of dimensions 2, 3, 4.

External Organisation(s)
University of Bonn
Type
Article
Journal
Nuclear Physics, Section B
Volume
361
Pages
255-289
No. of pages
35
ISSN
0550-3213
Publication date
26.08.1991
Publication status
Published
Peer reviewed
Yes
ASJC Scopus subject areas
Nuclear and High Energy Physics
Electronic version(s)
https://doi.org/10.1016/0550-3213(91)90624-7 (Access: Closed)