On the Vertex Operators of the Elliptic Quantum Algebra }
arXiv:0812.1140 · doi:10.1063/1.2905151
Abstract
A realization of the elliptic quantum algebra for any given level 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 modulo total q-differences. The free fields realization for two types vertex operators nominated as the type and the type 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.
arXiv comment23 pages
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