71 holomorphic vertex operator algebras of central charge 24
71 holomorphic vertex operator algebras of central charge 24
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DOI：
10.21915/bimas.2019105
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发表时间：
2019-03
影响因子：
0.2
通讯作者：
C. Lam;Hiroki Shimakura
中科院分区：
文献类型：
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作者：
C. Lam;Hiroki Shimakura
本文综述了中心电荷24的强正则全纯顶点算子代数分类的最新进展。特别地，我们回顾了实现Schellekens列表中的71个李代数的全纯顶点算子代数的构造。此外，我们讨论了权一子空间的李代数结构是否唯一地决定中心电荷24的全纯顶点算子代数的同构类。
In this article, we give a survey on the recent progress towards the classification of strongly regular holomorphic vertex operator algebras of central charge 24. In particular, we review the construction of the holomorphic vertex operator algebras that realize the 71 Lie algebras in Schellekens’ list. In addition, we discuss an open question if the Lie algebra structure of the weight one subspace will determine the isomorphism class of a holomorphic vertex operator algebra of central charge 24 uniquely.