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A modular invariance property of multivariable trace functions for regular vertex operator algebras
Journal article   Peer reviewed

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

Matthew Krauel and Masahiko Miyamoto
Journal of algebra, Vol.444, pp.124-142
12/15/2015
DOI: https://doi.org/10.1016/j.jalgebra.2015.07.013
Handle:
https://hdl.handle.net/20.500.12741/rep:7642

Abstract

Commutant Vertex operator algebras Modular forms
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 Uc is simple, regular, and satisfies (Uc)c=U, then all simple U-modules appear in some simple V-module.
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https://doi.org/10.1016/j.jalgebra.2015.07.013View
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