Free field realizations of 2D current algebras, screening currents and primary fields
文献类型：期刊论文
| 作者 | Petersen, JL; Rasmussen, J; Yu, M ; Petersen, JL , NIELS BOHR INST,BLEGDAMSVEJ 17,DK-2100 COPENHAGEN O,DENMARK.
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| 刊名 | NUCLEAR PHYSICS B
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| 出版日期 | 1997 |
| 卷号 | 502期号:3页码:649-670 |
| ISSN号 | 0550-3213 |
| 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 |
| 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. |
| 学科主题 | Physics |
| 公开日期 | 2012-08-29 |
| 源URL | [http://ir.itp.ac.cn/handle/311006/12422]  |
| 专题 | 理论物理研究所_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. |
入库方式： OAI收割
来源：理论物理研究所
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