On the Vertex Operators of the Elliptic Quantum Algebra $U_{q,p}(\widehat{sl_2})_{k}$}
| dc.creator | Chang, Wen-Jing | |
| dc.creator | Ding, Xiang-Mao | |
| dc.date | 2008-12-05 | |
| dc.date.accessioned | 2026-07-07T12:30:30Z | |
| dc.date.available | 2026-07-07T12:30:30Z | |
| dc.description | A realization of the elliptic quantum algebra $U_{q,p}(\widehat{sl_2})$ for any given level $k$ is constructed in terms of three free boson fields and their accompanying twisted partners. It can be viewed as the elliptic deformation of Wakimoto realization. Two screening currents are constructed; they commute or anti-commute with $U_{q,p}(\widehat{sl_2})$ modulo total q-differences. The free fields realization for two types vertex operators nominated as the type $I$ and the type $II$ vertex operators are presented. The twisted version of the two types vertex operators are also obtained. They all play crucial roles in calculating correlation functions. | |
| dc.description | 23 pages | |
| dc.identifier | https://arxiv.org/abs/0812.1140 | |
| dc.identifier | http://arxiv.org/abs/0812.1140 | |
| dc.identifier | J.Math.Phys.49:043513,2008 | |
| dc.identifier | doi:10.1063/1.2905151 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/216147 | |
| dc.subject | Quantum Algebra | |
| dc.subject | Mathematical Physics | |
| dc.title | On the Vertex Operators of the Elliptic Quantum Algebra $U_{q,p}(\widehat{sl_2})_{k}$} | |
| dc.type | text |