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Notes on the K3 Surface and the Mathieu group M_24

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arxiv 1004.0956 v2 pith:LPS3PYSX submitted 2010-04-06 hep-th math.AGmath.GRmath.QA

Tohru Eguchi , Hirosi Ooguri , Yuji Tachikawa This is my paper · ORCID
classification hep-thmath.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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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Flavor Moonshine

    hep-th 2019-08 reject novelty 6.0 of 10

    The paper claims that the mass matrices of leptons, quarks, and neutrinos are Fourier coefficient matrices of SL(2,Z(√2)) modular forms, with parameter-free agreement for charged leptons and fitted agreement for quark...

  2. SU(2) channels the cancellation of K3 BPS states

    hep-th 2019-08 conditional novelty 6.0 of 10

    A geometric SU(2) action is proposed as the symmetry that channels the cancellation of excess BPS states in Z2-orbifold K3 superconformal field theories, with explicit verification at levels one and two.

  3. Rational points in the 6d supergravity landscape and simple current extensions

    hep-th 2026-03 unverdicted novelty 5.0 of 10

    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.

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