The elliptic quantum algebra U-q,U-p((sl(N))over cap) and its vertex operators

doi:10.1088/1751-8113/42/42/425202

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	The elliptic quantum algebra U-q,U-p((sl(N))over cap) and its vertex operators
	Chang, Wen-jing 1; Ding, Xiang-mao2
	2009-10-23
发表期刊	JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
ISSN	1751-8113
卷号	42 期号:42 页码:23
摘要	We construct a realization of the elliptic quantum algebra U-q,U-p((sl(N)) over cap) for any given level k in terms of free boson fields and their twisted partners. It can be considered as the elliptic deformation of the Wakimoto realization of the quantum affine algebra U-q((sl(N)) over cap). We also construct a family of screening currents, which commute with the currents of U-q,U-p((sl(N)) over cap) up to total q-differences. And we give explicit twisted expressions for the type I and type II vertex operators of U-q,U- p((sl(N)) over cap) by twisting the known results of the type I vertex operators of the quantum affine algebra U-q((sl(N)) over cap) and the new results of the type II vertex operators of U-q((slN) over cap) we obtained in this paper.
DOI	10.1088/1751-8113/42/42/425202
语种	英语
WOS研究方向	Physics
WOS类目	Physics, Multidisciplinary ; Physics, Mathematical
WOS记录号	WOS:000270490500005
出版者	IOP PUBLISHING LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/7740
专题	应用数学研究所
通讯作者	Chang, Wen-jing
作者单位	1.Capital Normal Univ, Sch Math Sci, Beijing 100048, Peoples R China 2.Chinese Acad Sci, Inst Appl Math, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Chang, Wen-jing,Ding, Xiang-mao. The elliptic quantum algebra U-q,U-p((sl(N))over cap) and its vertex operators[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL,2009,42(42):23.
APA	Chang, Wen-jing,&Ding, Xiang-mao.(2009).The elliptic quantum algebra U-q,U-p((sl(N))over cap) and its vertex operators.JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL,42(42),23.
MLA	Chang, Wen-jing,et al."The elliptic quantum algebra U-q,U-p((sl(N))over cap) and its vertex operators".JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL 42.42(2009):23.