Ising vectors and automorphism groups of commutant subalgebras related to root systems
Ising vectors and automorphism groups of commutant subalgebras related to root systems
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DOI：
10.1007/s00209-006-0034-y
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发表时间：
2005-07
影响因子：
0.8
通讯作者：
C. Lam;Shinya Sakuma;H. Yamauchi
中科院分区：
文献类型：
--
作者：
C. Lam;Shinya Sakuma;H. Yamauchi
本文研究并得到了与二进制码和时间根格相关的顶点算子代数(VOA)中Ising向量的一种分类，其中Ising向量是中心电荷为1/2的共形向量，生成一个简单的Virasoro次VOA。然后，我们将我们的结果应用于研究与根系统相关的某些交换子代数。我们对这种交换子代数中的所有Ising向量进行了完全分类，并确定了它们的全自同构群。
In this article we study and obtain a classification of Ising vectors in vertex operator algebras (VOAs) associated to binary codes andtimes root lattices, where an Ising vector is a conformal vector with central charge 1/2 generating a simple Virasoro sub-VOA. Then we apply our results to study certain commutant subalgebras related to root systems. We completely classify all Ising vectors in such commutant subalgebras and determine their full automorphism groups.