Notes on the K3 Surface and the Mathieu Group M_(24)

Eguchi, Tohru and Ooguri, Hirosi and Tachikawa, Yuji (2011) Notes on the K3 Surface and the Mathieu Group M_(24). Experimental Mathematics, 20 (1). pp. 91-96. ISSN 1058-6458. doi:10.1080/10586458.2011.544585. https://resolver.caltech.edu/CaltechAUTHORS:20111014-150332394

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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.

Item Type:

Article

Related URLs:

URL	URL Type	Description
http://dx.doi.org/10.1080/10586458.2011.544585	DOI	Article
http://www.tandfonline.com/doi/abs/10.1080/10586458.2011.544585	Publisher	Article
https://arxiv.org/abs/1004.0956	arXiv	Discussion Paper

ORCID:

Author	ORCID
Ooguri, Hirosi	0000-0001-6021-3778

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.

Group:

Caltech Theory

Funders:

Funding Agency	Grant Number
Ministry of Education, Culture, Sports, Science, and Technology (MEXT)	20540256
Department of Energy (DOE)	DE-FG03-92-ER40701
Alexander von Humboldt Foundation	UNSPECIFIED
NSF	PHY-0503584
Institute for Advanced Study	UNSPECIFIED

Subject Keywords:

K3 surface; elliptic genus; Mathieu groups

Other Numbering System:

Other Numbering System Name	Other Numbering System ID
CALT	68-2783

Issue or Number:

Classification Code:

2000 AMS Subject Classification: 20D08, 14J28, 58J26

DOI:

10.1080/10586458.2011.544585

Record Number:

CaltechAUTHORS:20111014-150332394

Persistent URL:

https://resolver.caltech.edu/CaltechAUTHORS:20111014-150332394

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No commercial reproduction, distribution, display or performance rights in this work are provided.

ID Code:

27239

Collection:

CaltechAUTHORS

Deposited By:

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Deposited On:

17 Oct 2011 14:56

Last Modified:

09 Nov 2021 16:47

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