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On the Vertex Operators of the Elliptic Quantum Algebra $U_{q,p}(\widehat{sl_2})_{k}$}
- Source :
- J.Math.Phys.49:043513,2008
- Publication Year :
- 2008
-
Abstract
- 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.<br />Comment: 23 pages
- Subjects :
- Mathematics - Quantum Algebra
Mathematical Physics
Subjects
Details
- Database :
- arXiv
- Journal :
- J.Math.Phys.49:043513,2008
- Publication Type :
- Report
- Accession number :
- edsarx.0812.1140
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1063/1.2905151