On orbifold theory
On orbifold theory
复制标题
论轨道折叠理论
DOI：
10.1016/j.aim.2017.09.032
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发表时间：
2017-12-01
影响因子：
1.7
通讯作者：
Xu, Feng
中科院分区：
文献类型：
--
作者：
Dong, Chongying;Ren, Li;Xu, Feng
设V是单顶点算子代数，G是V的有限自同构群，使得V-G是正则的。证明了当g是G的元素时，每个不可约V-G-模都发生在一个不可约g-扭V-模中.此外，还确定了不可约V-G-模的量子维数，并得到了V用扭模表示的整体维数公式。特别地，如果G是可解的，则轨道理论猜想完全解决。(c)2017爱思唯尔公司All rights reserved.
Let V be a simple vertex operator algebra and G a finite automorphism group of V such that V-G is regular. It is proved that every irreducible V-G-module occurs in an irreducible g-twisted V-module for some g is an element of G. Moreover, the quantum dimensions of irreducible V-G-modules are determined and a global dimension formula for V in terms of twisted modules is obtained. In particular, the orbifold theory conjecture is completely solved if G is solvable. (c) 2017 Elsevier Inc. All rights reserved.