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Free field realizations of 2D current algebras, screening currents and primary fields
Petersen, JL; Rasmussen, J; Yu, M; Petersen, JL , NIELS BOHR INST,BLEGDAMSVEJ 17,DK-2100 COPENHAGEN O,DENMARK.
1997
发表期刊NUCLEAR PHYSICS B
ISSN0550-3213
卷号502期号:3页码:649-670
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.
部门归属ACAD SINICA,INST THEORET PHYS,BEIJING 100080,PEOPLES R CHINA
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
学科领域Physics
收录类别SCI
文献类型期刊论文
条目标识符http://ir.itp.ac.cn/handle/311006/12422
专题理论物理所1978-2010年知识产出
通讯作者Petersen, JL , NIELS BOHR INST,BLEGDAMSVEJ 17,DK-2100 COPENHAGEN O,DENMARK.
推荐引用方式
GB/T 7714
Petersen, JL,Rasmussen, J,Yu, M,et al. Free field realizations of 2D current algebras, screening currents and primary fields[J]. NUCLEAR PHYSICS B,1997,502(3):649-670.
APA Petersen, JL,Rasmussen, J,Yu, M,&Petersen, JL , NIELS BOHR INST,BLEGDAMSVEJ 17,DK-2100 COPENHAGEN O,DENMARK..(1997).Free field realizations of 2D current algebras, screening currents and primary fields.NUCLEAR PHYSICS B,502(3),649-670.
MLA Petersen, JL,et al."Free field realizations of 2D current algebras, screening currents and primary fields".NUCLEAR PHYSICS B 502.3(1997):649-670.
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