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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. http://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:
URLURL TypeDescription
http://dx.doi.org/10.1080/10586458.2011.544585DOIArticle
http://www.tandfonline.com/doi/abs/10.1080/10586458.2011.544585PublisherArticle
https://arxiv.org/abs/1004.0956arXivDiscussion Paper
ORCID:
AuthorORCID
Ooguri, Hirosi0000-0001-6021-3778
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 AgencyGrant Number
Ministry of Education, Culture, Sports, Science, and Technology (MEXT)20540256
Department of Energy (DOE)DE-FG03-92-ER40701
Alexander von Humboldt FoundationUNSPECIFIED
NSFPHY-0503584
Institute for Advanced StudyUNSPECIFIED
Subject Keywords:K3 surface; elliptic genus; Mathieu groups
Other Numbering System:
Other Numbering System NameOther Numbering System ID
CALT68-2783
Classification Code:2000 AMS Subject Classification: 20D08, 14J28, 58J26
Record Number:CaltechAUTHORS:20111014-150332394
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20111014-150332394
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:27239
Collection:CaltechAUTHORS
Deposited By: Jason Perez
Deposited On:17 Oct 2011 14:56
Last Modified:16 Dec 2016 23:03

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