On Examples of Intermediate Subfactors from Conformal Field Theory

被引：0
作者：
Feng Xu
机构：
[1] University of California at Riverside,Department of Mathematics
来源：
Communications in Mathematical Physics | 2013年 / 320卷
关键词：
Vertex Operator; Conformal Field Theory; Vertex Operator Algebra; Loop Group; Vacuum Representation;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Motivated by our subfactor generalization of Wall’s conjecture, in this paper we determine all intermediate subfactors for conformal subnets corresponding to four infinite series of conformal inclusions, and as a consequence we verify that these series of subfactors verify our conjecture. Our results can be stated in the framework of Vertex Operator Algebras. We also verify our conjecture for Jones-Wassermann subfactors from representations of Loop groups extending our earlier results.
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页码：761 / 781
页数：20
相关论文
共 59 条
[11]  
Fröhlich J.(2011)On a subfactor generalization of Wall’s conjecture J. Algebra 332 457-468
[12]  
Gabbiani F.(2005)Solitons in affine and permutation orbifolds Commun. Math. Phys. 253 723-764
[13]  
Frenkel I.(1988)Vertex Operators in conformal field theory on Adv. Studies in Pure Math. 16 297-372
[14]  
Zhu Y.(1988) and monodromy representations of braid group Adv. in Math. 70 156-234
[15]  
Gannon T.(1995)Modular and conformal invariance constraints in representation theory of affine algebras Commun. Math. Phys. 173 1-16
[16]  
Ruelle P.(2003)Branching rules for conformal embeddings Commun. Math. Phys. 237 7-30
[17]  
Walton M.A.(1995)Conformal subnets and intermediate subfactors Rev. Math. Phys. 7 567-597
[18]  
Goodman F.(1985)Nets of subfactors Phys. Lett. B 160 111-116
[19]  
Wenzl H.(1998)Symmetric spaces, Sugawara’s energy momentum tensor in two dimensions and free fermions J. Funct. Anal. 155 25-63
[20]  
Grossman P.(1983)A Galois correspondence for compact groups of automorphisms of von Neumann Algebras with a generalization to Kac algebras Invent. Math. 72 1-25
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