On the vertex operators of the elliptic quantum algebra Uq,p(sl2̂)k
Abstract
A realization of the elliptic quantum algebra Uq,p(sl2̂) 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 the Wakimoto realization. Two screening currents are constructed; they commute or anticommute with Uq,p(sl2̂) modulo total q-differences. The free field realization for two types of vertex operators nominated as the type I and the type II vertex operators is presented. The twisted version of the two types of vertex operators are also obtained. They all play crucial roles in calculating correlation functions.
- Publication:
-
Journal of Mathematical Physics
- Pub Date:
- April 2008
- DOI:
- 10.1063/1.2905151
- arXiv:
- arXiv:0812.1140
- Bibcode:
- 2008JMP....49d3513C
- Keywords:
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- Mathematics - Quantum Algebra;
- Mathematical Physics
- E-Print:
- 23 pages