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Notes on the K3 Surface and the Mathieu group M_24

Tohru Eguchi, Hirosi Ooguri, Yuji Tachikawa

2010.4.6EXPERIMENTAL MATHEMATICS

DOI: 10.1080/10586458.2011.544585

tlooto Summary

It is pointed out that the elliptic genus of the K3 surface has a natural decomposition in terms of dimensions of irreducible representations of the largest Mathieu group M 24.

Abstract

We point out that the elliptic genus of the K3 surface has a natural decomposition in terms of dimensions of irreducible representations of the largest Mathieu group M 24. The reason remains a mystery.

Citation format

EGUCHI, Tohru; OOGURI, Hirosi; TACHIKAWA, Yuji. Notes on the k3 surface and the mathieu group m_24 [preprint]. arXiv, 2010. arXiv:1004.0956.