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首页> 外文期刊>Letters in Mathematical Physics: A Journal for the Rapid Dissemination of Short Contributions in the Field of Mathematical Physics >The Intermediate Vertex Subalgebras of the Lattice Vertex Operator Algebras
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The Intermediate Vertex Subalgebras of the Lattice Vertex Operator Algebras

机译：晶格顶点算子代数的中间顶点子代数

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摘要

A notion of intermediate vertex subalgebras of lattice vertex operator algebras is introduced, as a generalization of the notion of principal subspaces. Bases and the graded dimensions of such subalgebras are given. As an application, it is shown that the characters of some modules of an intermediate vertex subalgebra between E_7 and E_8 lattice vertex operator algebras satisfy some modular differential equations. This result is an analogue of the result concerning the "hole" of the Deligne dimension formulas and the intermediate Lie algebra between the simple Lie algebras E_7 and E_8.
机译：引入了晶格顶点算子代数的中间顶点子代数的概念，作为对主子空间概念的概括。给出了这些子代数的基和分级维。作为一个应用，证明了E_7和E_8晶格顶点算子代数之间的中间顶点子代数的某些模块的特征满足一些模块化微分方程。该结果与关于Deligne尺寸公式的“孔”和简单李代数E_7和E_8之间的中间李代数的结果类似。

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