On the Vertex Operators of the Elliptic Quantum Algebra Uq,p(ŝl2)k

نویسنده

  • Wen-Jing Chang
چکیده

A realization of the elliptic quantum algebra Uq,p(ŝl2) 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 Uq,p(ŝl2) 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.

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تاریخ انتشار 2008