Published October 14, 2011
| Submitted
Journal Article
Open
Notes on the K3 Surface and the Mathieu Group M_(24)
- Creators
- Eguchi, Tohru
-
Ooguri, Hirosi
- Tachikawa, Yuji
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.Attached Files
Submitted - 1004.0956v2.pdf
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Additional details
- Eprint ID
- 27239
- DOI
- 10.1080/10586458.2011.544585
- Resolver ID
- CaltechAUTHORS:20111014-150332394
- 20540256
- Ministry of Education, Culture, Sports, Science, and Technology (MEXT)
- DE-FG03-92-ER40701
- Department of Energy (DOE)
- Alexander von Humboldt Foundation
- PHY-0503584
- NSF
- Institute for Advanced Study
- Created
-
2011-10-17Created from EPrint's datestamp field
- Updated
-
2021-11-09Created from EPrint's last_modified field
- Caltech groups
- Caltech Theory
- Other Numbering System Name
- CALT
- Other Numbering System Identifier
- 68-2783