Field Theory on Noncommutative Space-Time and the Deformed Virasoro Algebra
| dc.creator | Chaichian, M. | |
| dc.creator | Demichev, A. | |
| dc.creator | Presnajder, P. | |
| dc.date | 2000-03-29 | |
| dc.date | 2000-05-20 | |
| dc.date.accessioned | 2026-07-07T04:09:42Z | |
| dc.date.available | 2026-07-07T04:09:42Z | |
| dc.description | We consider a field theoretical model on the noncommutative cylinder which leads to a discrete-time evolution. Its Euclidean version is shown to be equivalent to a model on the complex $q$-plane. We reveal a direct link between the model on a noncommutative cylinder and the deformed Virasoro algebra constructed earlier on an abstract mathematical background. As it was shown, the deformed Virasoro generators necessarily carry a second index (in addition to the usual one), whose meaning, however, remained unknown. The present field theoretical approach allows one to ascribe a clear meaning to this second index: its origin is related to the noncommutativity of the underlying space-time. The problems with the supersymmetric extension of the model on a noncommutative super-space are briefly discussed. | |
| dc.description | 19 pages, plain LaTeX; the abstract has been revised and a few clarifying comments have been added | |
| dc.identifier | https://arxiv.org/abs/hep-th/0003270 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0003270 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/49952 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Field Theory on Noncommutative Space-Time and the Deformed Virasoro Algebra | |
| dc.type | text |