Mathieu moonshine and symmetries of K3 sigma models

被引：0

作者：

Hohenegger, Stefan ^{[1
]}

机构：

[1] Max Planck Inst Phys & Astrophys, Werner Heisenberg Inst, D-80805 Munich, Germany

来源：

STRINGS, GAUGE FIELDS, AND THE GEOMETRY BEHIND: THE LEGACY OF MAXIMILIAN KREUZER | 2013年

关键词：

SUPERCONFORMAL ALGEBRAS; ELLIPTIC GENERA; FINITE-GROUPS; AUTOMORPHISMS;

D O I：

暂无

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We review evidence for an action of the largest Mathieu group M-24 on the space of BPS states contributing to the elliptic genus of K3 ('Mathieu moonshine'). As a first step in trying to understand this action we discuss a theorem classifying symmetries of nonlinear sigma-models on K3 which commute with the N = (4, 4) superconformal algebra. We illustrate this theorem by discussing as a particular example the sigma-model on T-4/Z(2).

引用

页码：315 / 328

页数：14

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