On the Vertex Operators of the Elliptic Quantum Algebra U_q,p(\widehatsl₂)_k

2008/12/05 by Wen-Jing Chang, Xiang-Mao Ding · 1 citation
Mathematics · Physics and Astronomy · #math.QA #math-ph #math.MP

paper · pdf · doi:10.1063/1.2905151

published as J.Math.Phys.49:043513,2008 · 23 pages

arxiv created 2008/12/05 · arxiv updated 2009/12/01

Abstract

A realization of the elliptic quantum algebra U_q,p(\widehatsl₂) 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(\widehatsl₂) 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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