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Notes on the K3 Surface and the Mathieu group M_24

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Ooguri,  Hirosi
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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1004.0956
(Preprint), 110KB

ExpMath20_91.pdf
(Any fulltext), 103KB

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Citation

Eguchi, T., Ooguri, H., & Tachikawa, Y. (2011). Notes on the K3 Surface and the Mathieu group M_24. Experimental Mathematics, 20(1), 91-96. doi:10.1080/10586458.2011.544585.


Cite as: https://hdl.handle.net/11858/00-001M-0000-0012-9C84-8
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 is yet a mystery.