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Published October 14, 2011 | Submitted
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Notes on the K3 Surface and the Mathieu Group M_(24)

Eguchi, Tohru
Ooguri, Hirosi ORCID icon
Tachikawa, Yuji
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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.

Additional Information

© 2011 Taylor & Francis Group, LLC. Received April 21, 2010; accepted May 5, 2010. Available online: 14 Oct 2011. The authors thank the hospitality of the Aspen Center of Physics during the workshop "Unity of String Theory," when the observation reported in this paper was made. We would like to thank S. Mukai for discussions. T. E. is supported in part by a Grant in Aid from the Japan Ministry of Education, Culture, Sports, Science, and Technology (MEXT). H. O. is supported in part by U.S. Department of Energy grant DE-FG03-92-ER40701, the World Premier International Research Center Initiative, Grant-in-Aid for Scientific Research (C) 20540256 of MEXT, and the Humboldt Research Award. Y. T. is supported in part by NSF grant PHY-0503584, and by a Marvin L. Goldberger membership at the Institute for Advanced Study.

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