On the vertex operators of the elliptic quantum algebra U{sub q,p}(sl{sub 2}){sub k}

Journal Article · Tue Apr 15 00:00:00 EDT 2008 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.2905151· OSTI ID:21100268

Wenjing, Chang ^[1]; Xiangmao, Ding ^[1]

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1. Institute of Applied Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, P.O. Box 2734, Beijing 100190 (China)

A realization of the elliptic quantum algebra U{sub q,p}(sl{sub 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 the Wakimoto realization. Two screening currents are constructed; they commute or anticommute with U{sub q,p}(sl{sub 2}) 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.

• OSTI ID: 21100268
• Journal Information: Journal of Mathematical Physics, Journal Name: Journal of Mathematical Physics Journal Issue: 4 Vol. 49; ISSN JMAPAQ; ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ALGEBRA
BOSONS
CONFORMAL INVARIANCE
CORRELATION FUNCTIONS
GROUP THEORY
LIE GROUPS
MATHEMATICAL OPERATORS
QUANTUM FIELD THEORY