Mathieu Moonshine and the Geometry of K3 Surfaces

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.

29 pages

References in corpus (1)

• Note on Twisted Elliptic Genus of K3 Surface

Cited by in corpus (8)

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