The operator algebra of orbifold models

The operator algebra of orbifold models
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DOI:
10.1007/bf01238812
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发表时间:
1989-01
影响因子:
2.4
通讯作者:
R. Dijkgraaf;C. Vafa;E. Verlinde;H. Verlinde
R. Dijkgraaf;C. Vafa;E. Verlinde;H. Verlinde
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
R. Dijkgraaf;C. Vafa;E. Verlinde;H. Verlinde

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本文分析了由一个已知的共形场论通过有限对称群模化得到的(轨道)共形场论的手征性质。针对一类轨道折叠,通过研究单圈特征的模变换性质,推导出融合规则。结果表明,与明确的计算环形和c =1模型。
We analyze the chiral properties of (orbifold) conformal field theories which are obtained from a given conformal field theory by modding out by a finite symmetry group. For a class of orbifolds, we derive the fusion rules by studying the modular transformation properties of the one-loop characters. The results are illustrated with explicit calculations of toroidal andc=1 models.