Automorphism Groups and Uniqueness of Holomorphic Vertex Operator Algebras of Central Charge 24
Automorphism Groups and Uniqueness of Holomorphic Vertex Operator Algebras of Central Charge 24
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DOI：
10.1007/s00220-022-04585-6
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发表时间：
2022-03
影响因子：
2.4
通讯作者：
K. Betsumiya;C. Lam;Hiroki Shimakura
中科院分区：
文献类型：
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作者：
K. Betsumiya;C. Lam;Hiroki Shimakura
利用中心电荷为24的全纯顶点算子代数的结构作为简单的电流扩张刻画了具有非平凡权的单李代数的自同构群。我们还证实了G.Höhn关于中心电荷24的全纯顶点算子代数的个数作为某些顶点算子代数的不等价单流扩张的猜想，这给出了中心电荷24的全纯顶点算子代数具有非平凡权一李代数的唯一性的另一种证明。
We describe the automorphism groups of all holomorphic vertex operator algebras of central charge 24 with non-trivial weight one Lie algebras by using their constructions as simple current extensions. We also confirm a conjecture of G. Höhn on the numbers of holomorphic vertex operator algebras of central charge 24 obtained as inequivalent simple current extensions of certain vertex operator algebras, which gives another proof of the uniqueness of holomorphic vertex operator algebras of central charge 24 with non-trivial weight one Lie algebras.