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arxiv: 1004.0956 · v2 · pith:LPS3PYSXnew · submitted 2010-04-06 · ✦ hep-th · math.AG· math.GR· math.QA

Notes on the K3 Surface and the Mathieu group M₂4

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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    Rationality of the 2d SCFT on BPS strings provides a consistency criterion that uniquely determines the elliptic genus and global gauge group in a class of 6d supergravity models without tensor multiplets.