Affine Vertex Operator Algebras and Modular Linear Differential Equations

被引：15

作者：

Arike, Yusuke ^{[1
]}

Kaneko, Masanobu ^{[2
]}

Nagatomo, Kiyokazu ^{[3
]}

Sakai, Yuichi ^{[4
]}

机构：

[1] Univ Tsukuba, Fac Pure & Appl Sci, Div Math, Tsukuba, Ibaraki 3058571, Japan

[2] Kyushu Univ, Fac Math, Fukuoka 8190395, Japan

[3] Osaka Univ, Grad Sch Informat Sci & Technol, Dept Pure & Appl Math, Toyonaka, Osaka 5600043, Japan

[4] Yokomizo 3012-2, Fukuoka 8300405, Japan

来源：

LETTERS IN MATHEMATICAL PHYSICS | 2016年 / 106卷 / 05期

关键词：

affine vertex operator algebra; modular invariance; modular linear differential equation; 2-dimensional conformal field theory; VIRASORO ALGEBRA; LIE-ALGEBRAS; INVARIANCE; CHARACTERS; FORMS;

D O I：

10.1007/s11005-016-0837-7

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, we list all affine vertex operator algebras of positive integral levels whose dimensions of spaces of characters are at most 5 and show that a basis of the space of characters of each affine vertex operator algebra in the list gives a fundamental system of solutions of a modular linear differential equation. Further, we determine the dimensions of the spaces of characters of affine vertex operator algebras whose numbers of inequivalent simple modules are not exceeding 20.

引用

页码：693 / 718

页数：26

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