Algebraic orbifold conformal field theories.
Algebraic orbifold conformal field theories.
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DOI：
10.1073/pnas.260375597
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发表时间：
2000-04
影响因子：
11.1
通讯作者：
F. Xu
中科院分区：
文献类型：
--
作者：
F. Xu
建立了代数量子场论中的酉有理轨道共形场论和子因子理论框架。在一般条件下，证明了给定的正有理共形场论的轨道产生一个正模范畴。得到了许多新的酉模范畴。并证明了秩一格顶点算子代数的轨道的不可约表示产生酉模范畴，并确定了相应的模矩阵，这一猜想已有一段时间。
The unitary rational orbifold conformal field theories in the algebraic quantum field theory and subfactor theory framework are formulated. Under general conditions, it is shown that the orbifold of a given unitary rational conformal field theory generates a unitary modular category. Many new unitary modular categories are obtained. It is also shown that the irreducible representations of orbifolds of rank one lattice vertex operator algebras give rise to unitary modular categories and determine the corresponding modular matrices, which has been conjectured for some time.