Mathieu moonshine and the geometry of K3 surfaces

被引：14
|
作者：
Creutzig, Thomas [1 ]
Hoehn, Gerald [2 ]
机构：
[1] Univ Alberta, Dept Math & Stat Sci, Edmonton, AB T6G 2G1, Canada
[2] Kansas State Univ, Manhattan, KS 66506 USA
来源：
COMMUNICATIONS IN NUMBER THEORY AND PHYSICS | 2014年 / 8卷 / 02期
关键词：
ELLIPTIC GENERA;
D O I：
10.4310/CNTP.2014.v8.n2.a3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We compare the moonshine observation of Eguchi, Ooguri and Tachikawa relating the Mathieu group M-24 and the complex elliptic genus of a K3 surface with the symmetries of geometric structures on K3 surfaces. Two main results are that the complex elliptic genus of a K3 surface is a virtual module for the Mathieu group M-24 and also for a certain vertex operator superalgebra V-G where G is the holonomy group.
引用
收藏
页码：295 / 328
页数：34
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