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Fusion, crossing and monodromy in conformal field theory based on SL(2) current algebra with fractional level
Petersen, JL; Rasmussen, J; Yu, M; Petersen, JL , NIELS BOHR INST,BLEGDAMSVEJ 17,DK-2100 COPENHAGEN 0,DENMARK.
1996
发表期刊NUCLEAR PHYSICS B
ISSN0550-3213
卷号481期号:3页码:577-621
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.
部门归属ACAD SINICA,INST THEORET PHYS,BEIJING 100080,PEOPLES R CHINA
关键词Knizhnik-zamolodchikov Equation Operator Algebra Minimal Models Reduction Cohomology
学科领域Physics
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收录类别SCI
文献类型期刊论文
条目标识符http://ir.itp.ac.cn/handle/311006/12545
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 0,DENMARK.
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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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