Notes on the K3 Surface and the Mathieu group M₂4

Tohru Eguchi , Hirosi Ooguri , Yuji Tachikawa

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classification ✦ hep-th math.AGmath.GRmath.QA

keywords groupmathieusurfacedecompositiondimensionsellipticgenusirreducible

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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 is yet a mystery.

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Notes on the K3 Surface and the Mathieu group M₂4

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