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题名: Free field realizations of 2D current algebras, screening currents and primary fields
作者: Petersen, JL ;  Rasmussen, J ;  Yu, M
刊名: NUCLEAR PHYSICS B
出版日期: 1997
卷号: 502, 期号:3, 页码:649-670
关键词: SL(2) CURRENT-ALGEBRA ;  KNIZHNIK-ZAMOLODCHIKOV EQUATION ;  FEIGIN-FUCHS REPRESENTATIONS ;  DIMENSIONAL LIE-ALGEBRAS ;  QUANTUM GROUP-STRUCTURE ;  ZUMINO-WITTEN MODEL ;  KAC-MOODY ALGEBRAS ;  OPERATOR ALGEBRA ;  BRST COHOMOLOGY ;  WZNW MODELS
学科分类: Physics
通讯作者: Petersen, JL , NIELS BOHR INST,BLEGDAMSVEJ 17,DK-2100 COPENHAGEN O,DENMARK.
部门归属: ACAD SINICA,INST THEORET PHYS,BEIJING 100080,PEOPLES R CHINA
英文摘要: In this paper we consider Wakimoto free field realizations of simple affine Lie algebras, a subject already much studied. We present three new sets of results, (i) Based on quantizing differential operator realizations of the corresponding Lie algebras we provide general universal very simple expressions for all currents, more compact than has been established so far. (ii) We supplement the treatment of screening currents of the first kind, known in the literature, by providing a direct proof of the properties for screening currents of the second kind, Finally (iii) we work out explicit free field realizations of primary fields with general non-integer weights, We use a formalism where the (generally infinite) multiplet is replaced by a generating function primary operator. These results taken together allow setting up integral representations for correlators of primary fields corresponding to non-integrable degenerate (in particular admissible) representations. (C) 1997 Elsevier Science B.V.
收录类别: SCI
内容类型: 期刊论文
URI标识: http://ir.itp.ac.cn/handle/311006/12422
Appears in Collections:理论物理所1978-2010年知识产出_期刊论文

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Recommended Citation:
Petersen, JL,Rasmussen, J,Yu, M. Free field realizations of 2D current algebras, screening currents and primary fields[J]. NUCLEAR PHYSICS B,1997,502(3):649-670.
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