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

JOURNAL OF ALGEBRA

卷:444

Article

Krauel, Matthew¹  Miyamoto, Masahiko² 

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

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

关键词: Vertex operator algebras;    Commutant;    Modular forms;   

DOI  :  10.1016/j.jalgebra.2015.07.013

来源: Elsevier

【 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.

【 授权许可】

Free