Representation theory of a W-algebra from generalised DS reduction
| dc.creator | Bowcock, P. | |
| dc.date | 1994-03-25 | |
| dc.date.accessioned | 2026-07-07T04:20:06Z | |
| dc.date.available | 2026-07-07T04:20:06Z | |
| dc.description | We investigate the W-algebra resulting from Drinfel'd-Sokolov reduction of a $B_2$ WZW model with respect to the grading induced by a short root. The quantum algebra, which is generated by three fields of spin-2 and a field of spin-1, is explicitly constructed. A `free field' realisation of the algebra in terms of the zero-grade currents is given, and it is shown that these commute with a screening charge. We investigate the representation theory of the algebra using a combination of the explicit fusion method of Bauer et al. and free field methods. We discuss the fusion rules of degenerate primary fields, and give various character formulae and a Kac determinant formula for the algebra | |
| dc.description | 34 pages, Latex file, DTP-94-5 | |
| dc.identifier | https://arxiv.org/abs/hep-th/9403157 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9403157 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/53832 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Representation theory of a W-algebra from generalised DS reduction | |
| dc.type | text |