Mathieu moonshine and the geometry of k3 surfaces

Creutzig T, Höhn G (2014)

Publication Type: Journal article

Publication year: 2014

Journal

Communications in Number Theory and Physics International Press

Book Volume: 8

Pages Range: 295-328

Journal Issue: 2

DOI: 10.4310/CNTP.2014.v8.n2.a3

Abstract

We compare the moonshine observation of Eguchi, Ooguri and Tachikawa relating the Mathieu group M24 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 M24 and also for a certain vertex operator superalgebra VG where G is the holonomy group.

Involved external institutions

University of Alberta CA Canada (CA) Kansas State University US United States (USA) (US)

How to cite

APA:

Creutzig, T., & Höhn, G. (2014). Mathieu moonshine and the geometry of k3 surfaces. Communications in Number Theory and Physics, 8(2), 295-328. https://doi.org/10.4310/CNTP.2014.v8.n2.a3

MLA:

Creutzig, Thomas, and Gerald Höhn. "Mathieu moonshine and the geometry of k3 surfaces." Communications in Number Theory and Physics 8.2 (2014): 295-328.

BibTeX: Download