Fusion, crossing and monodromy in conformal field theory based on SL(2) current algebra with fractional level
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 0,DENMARK.
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| 刊名 | NUCLEAR PHYSICS B
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| 出版日期 | 1996 |
| 卷号 | 481期号:3页码:577-621 |
| ISSN号 | 0550-3213 |
| 关键词 | Knizhnik-zamolodchikov Equation Operator Algebra Minimal Models Reduction Cohomology |
| 英文摘要 | Based on our earlier work on free field realizations of conformal blocks for conformal field theories with SL(2) current algebra and with fractional level and spins, we discuss in some detail the fusion rules which arise. By a careful analysis of the 4-point functions, we find that both the fusion rules previously found in the literature are realized in our formulation. Since this is somewhat contrary to our expectations in our first work based on 3-point functions, we reanalyse the 3-point functions and come to the same conclusion, We compare our results on 4-point conformal blocks in particular with a different realization of these found by O. Andreev, and we argue for the equivalence. We describe in detail how integration contours have to be chosen to obtain convenient bases for conformal blocks, both in his and in our own formulation. We then carry out the rather lengthy calculation to obtain the crossing matrix between s- and t-channel blocks, and we use that to determine the monodromy invariant 4-point Green functions. We use the monodromy coefficients to obtain the operator algebra coefficients for theories based on admissible representations. |
| 学科主题 | Physics |
| URL标识 | 查看原文 |
| 公开日期 | 2012-08-29 |
| 源URL | [http://ir.itp.ac.cn/handle/311006/12545]  |
| 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 0,DENMARK. |
| 推荐引用方式 GB/T 7714 | Petersen, JL,Rasmussen, J,Yu, M,et al. Fusion, crossing and monodromy in conformal field theory based on SL(2) current algebra with fractional level[J]. NUCLEAR PHYSICS B,1996,481(3):577-621. |
| APA | Petersen, JL,Rasmussen, J,Yu, M,&Petersen, JL , NIELS BOHR INST,BLEGDAMSVEJ 17,DK-2100 COPENHAGEN 0,DENMARK..(1996).Fusion, crossing and monodromy in conformal field theory based on SL(2) current algebra with fractional level.NUCLEAR PHYSICS B,481(3),577-621. |
| MLA | Petersen, JL,et al."Fusion, crossing and monodromy in conformal field theory based on SL(2) current algebra with fractional level".NUCLEAR PHYSICS B 481.3(1996):577-621. |
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来源：理论物理研究所
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