Twisted Elliptic Genus for K3 and Borcherds Product

被引：0
|
作者：
Tohru Eguchi
Kazuhiro Hikami
机构：
[1] Kyoto University,Yukawa Institute for Theoretical Physics
[2] California Institute of Technology,Faculty of Mathematics
[3] Kyushu University,undefined
来源：
Letters in Mathematical Physics | 2012年 / 102卷
关键词：
58J26; 81T40; 20C34; 14J28; elliptic genus; superconformal algebra; moonshine; Mathieu group; Jacobi form; mock theta function;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We discuss the relation between the elliptic genus of K3 surface and the Mathieu group M24. We find that some of the twisted elliptic genera for K3 surface, defined for conjugacy classes of the Mathieu group M24, can be represented in a very simple manner in terms of the η product of the corresponding conjugacy classes. It is shown that our formula is a consequence of the identity between the Borcherds product and additive lift of some Siegel modular forms.
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页码：203 / 222
页数：19
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