On Weierstrass mock modular forms and a dimension formula for certain vertex operator algebras

被引：3
|
作者：
Beneish, Lea [1 ]
Mertens, Michael H. [2 ]
机构：
[1] Emory Univ, Dept Math & Comp Sci, 400 Dowman Dr, Atlanta, GA 30322 USA
[2] Max Planck Inst Math, Vivatsgasse 7, D-53111 Bonn, Germany
来源：
MATHEMATISCHE ZEITSCHRIFT | 2021年 / 297卷 / 1-2期
关键词：
Weierstrass mock modular forms; VOAs; Orbifold theories; MEROMORPHIC JACOBI FORMS; MOONSHINE; INVARIANCE; STRINGS;
D O I：
10.1007/s00209-020-02499-4
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Using techniques from the theory of mock modular forms and harmonic Maass forms, especially Weierstrass mock modular forms, we establish several dimension formulas for certain holomorphic, strongly rational vertex operator algebras, complementing previous work by van Ekeren, Moller, and Scheithauer.
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页码：59 / 80
页数：22
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