Notes on the K3 Surface and the Mathieu Group M24

被引：176

作者：

Eguchi, Tohru ^{[1
]}

Ooguri, Hirosi ^{[2
]}

Tachikawa, Yuji ^{[3
]}

机构：

[1] Kyoto Univ, Yukawa Inst Theoret Phys, Kyoto 6068502, Japan

[2] CALTECH, Pasadena, CA 91125 USA

[3] Inst Adv Study, Sch Nat Sci, Princeton, NJ 08540 USA

来源：

EXPERIMENTAL MATHEMATICS | 2011年 / 20卷 / 01期

关键词：

K3; surface; elliptic genus; Mathieu groups; SUPERCONFORMAL ALGEBRAS; FINITE-GROUPS; AUTOMORPHISMS; MANIFOLDS;

D O I：

10.1080/10586458.2011.544585

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We point out that the elliptic genus of the K3 surface has a natural decomposition in terms of dimensions of irreducible representations of the largest Mathieu group M-24. The reason remains a mystery.

引用

页码：91 / 96

页数：6

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