Mathieu Moonshine and the Geometry of K3 Surfaces
Quantum Algebra
2014-07-15 v2 High Energy Physics - Theory
Number Theory
Abstract
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.
Keywords
Cite
@article{arxiv.1309.2671,
title = {Mathieu Moonshine and the Geometry of K3 Surfaces},
author = {Thomas Creutzig and Gerald Hoehn},
journal= {arXiv preprint arXiv:1309.2671},
year = {2014}
}
Comments
29 pages