A modular invariance property of multivariable trace functions for regular vertex operator algebras

被引：19

作者：

Krauel, Matthew ^{[1
]}

Miyamoto, Masahiko ^{[2
]}

机构：

[1] Univ Cologne, Math Inst, Cologne, Germany

[2] Univ Tsukuba, Inst Math, Tsukuba, Ibaraki 305, Japan

来源：

JOURNAL OF ALGEBRA | 2015年 / 444卷

基金：

日本学术振兴会; 欧洲研究理事会;

关键词：

Vertex operator algebras; Commutant; Modular forms;

D O I：

10.1016/j.jalgebra.2015.07.013

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove an SL2(Z)-invariance property of multivariable trace functions on modules for a regular VOA. Applying this result, we provide a proof of the inversion transformation formula for Siegel theta series. As another application, we show that if V is a simple regular VOA containing a simple regular subVOA U whose commutant U-c is simple, regular, and satisfies (U-c)(c) = U, then all simple U-modules appear in some simple V-module. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：124 / 142

页数：19

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