Notes on the K3 Surface and the Mathieu group M_24

Eguchi, Tohru; Ooguri, Hirosi; Tachikawa, Yuji

doi:10.1080/10586458.2011.544585

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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
(プレプリント), 110KB

ExpMath20_91.pdf
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引用

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.

引用: https://hdl.handle.net/11858/00-001M-0000-0012-9C84-8

要旨

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.