Mathieu Moonshine and symmetries of K3 sigma models

Abstract

A recent observation by Eguchi, Ooguri and Tachikawa (EOT) suggests a relationship between the largest Mathieu group M24 and the elliptic genus of K3. This correspondence would be naturally explained by the existence of a non-linear sigma-model on K3 with the Mathieu group as its group of symmetries. However, all possible symmetry groups of K3 models have been recently classified and none of them contains M24. We review the evidence in favour of the EOT conjecture and discuss the open problems in its physical interpretation.

7 pages. Proceedings of the "XVII European Workshop on String Theory 2011", Padova, Italy, 5-9 September 2011

References in corpus (6)

• Notes on the K3 Surface and the Mathieu group M_24
• Note on Twisted Elliptic Genus of K3 Surface
• Mathieu twining characters for K3
• Mathieu Moonshine in the elliptic genus of K3
• K3 Surfaces, N=4 Dyons, and the Mathieu Group M24
• Symmetries of K3 sigma models

Cited by in corpus (1)

• Second Quantized Mathieu Moonshine