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There is a `Mathieu moonshine' relating the elliptic genus of K3 to the sporadic group M_{24}.
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P. S. Aspinwall and J. Louis, On the ubiquity of K3 fibrations in string duality
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2007
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M. C. Cheng, K3 Surfaces, N=4 Dyons, and the Mathieu Group M24
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M. R. Gaberdiel, S. Hohenegger, and R. Volpato, Mathieu twining characters for K3
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M. R. Gaberdiel, S. Hohenegger, and R. Volpato, Mathieu Moonshine in the elliptic genus of K3
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2010
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T. Eguchi, H. Ooguri, and Y. Tachikawa, Notes on the K3 Surface and the Mathieu group M 24 M_{24}
2011
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T. Eguchi and K. Hikami, Note on Twisted Elliptic Genus of K3 Surface
2011
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M. R. Gaberdiel, S. Hohenegger, and R. Volpato, Symmetries of K3 sigma models
2012
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