In this paper, we study orbifold constructions associated with the Leech lattice vertex operator algebra. As an application, we prove that the structure of a strongly regular holomorphic vertex operator algebra of central charge 24 is uniquely determined by its weight one Lie algebra if the Lie algebra has the type A3,43A1,2, A4,52, D4,12A2,6, A6,7, A7,4A1,13, D5,8A1,2 or D6,5A1,12 by using the reverse orbifold construction. Our result also provides alternative constructions of these vertex operator algebras (except for the case A6,7) from the Leech lattice vertex operator algebra.

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关于与 Leech 晶格顶点算子代数相关的轨道结构

在本文中，我们研究了与 Leech 晶格顶点算子代数相关的 orbifold 结构。作为一个应用，我们证明了一个中心电荷为 24 的强正则全纯顶点算子代数的结构，如果李代数的类型为一种3,43一种1,2,一种4,52,D4,12一种2,6,一种6,7,一种7,4一种1,13,D5,8一种1,2要么D6,5一种1,12通过使用反向orbifold 结构。我们的结果还提供了这些顶点算子代数的替代结构（除了这种情况一种6,7) 来自 Leech 晶格顶点算子代数。