Virasoro顶点算子代数L(12,0)及其模的张量幂的积分形式

IF 0.8 2区数学 Q2 MATHEMATICS

Journal of Algebra Pub Date : 2015-06-01 DOI:10.1016/j.jalgebra.2015.02.018

Robert McRae

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引用次数: 7

摘要

我们在Virasoro顶点算子代数L(12,0)的某些张量幂中构造了包含保形向量ω的积分形式，并在这些代数的某些模中构造了积分形式。当一个张量幂L(12,0)的模组具有积分形式时，我们对这些模之间哪些交织算子遵从积分形式进行分类。作为一个应用，我们探讨了如何使用这些结果来获得框架顶点算子代数中的积分形式。

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Integral forms for tensor powers of the Virasoro vertex operator algebra L(12,0) and their modules

We construct integral forms containing the conformal vector ω in certain tensor powers of the Virasoro vertex operator algebra $L (\frac{1}{2}, 0)$ , and we construct integral forms in certain modules for these algebras. When a triple of modules for a tensor power of $L (\frac{1}{2}, 0)$ have integral forms, we classify which intertwining operators among these modules respect the integral forms. As an application, we explore how these results might be used to obtain integral forms in framed vertex operator algebras.

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来源期刊

Journal of Algebra 数学-数学

CiteScore

1.50

自引率

22.20%

发文量

414

审稿时长

2-4 weeks

期刊介绍： The Journal of Algebra is a leading international journal and publishes papers that demonstrate high quality research results in algebra and related computational aspects. Only the very best and most interesting papers are to be considered for publication in the journal. With this in mind, it is important that the contribution offer a substantial result that will have a lasting effect upon the field. The journal also seeks work that presents innovative techniques that offer promising results for future research.