The classification of vertex operator algebras of OZ-type generated by Ising vectors of σ-type

IF 1.5 1区数学 Q1 MATHEMATICS

Advances in Mathematics Pub Date : 2025-02-14 DOI:10.1016/j.aim.2025.110146

Cuipo Jiang , Ching Hung Lam , Hiroshi Yamauchi

引用次数: 0

Abstract

We classify vertex operator algebras (VOAs) of OZ-type generated by Ising vectors of σ-type. As a consequence of the classification, we also prove that such VOAs are simple, rational,

C_{2}

-cofinite and unitary, that is, they have compact real forms generated by Ising vectors of σ-type over the real numbers.

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由σ型伊辛向量生成的OZ型顶点算子代数的分类

对由σ型的Ising向量生成的z型顶点算子代数进行了分类。作为分类的结果，我们还证明了这类向量是简单的、有理的、c2有限的和酉的，即它们具有由σ型的Ising向量在实数上生成的紧实形式。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Advances in Mathematics 数学-数学

CiteScore

2.80

自引率

5.90%

发文量

497

审稿时长

7.5 months

期刊介绍： Emphasizing contributions that represent significant advances in all areas of pure mathematics, Advances in Mathematics provides research mathematicians with an effective medium for communicating important recent developments in their areas of specialization to colleagues and to scientists in related disciplines.