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Generalised Mathieu Moonshine

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arxiv 1211.7074 v3 pith:QLRMCXBW submitted 2012-11-29 hep-th math.NTmath.QA

Matthias R. Gaberdiel , Daniel Persson , Henrik Ronellenfitsch , Roberto Volpato This is my paper · ORCID
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keywords mathieumoonshinegeneralisedholomorphicanaloguesbehaviourcasecocycle
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The Mathieu twisted twining genera, i.e. the analogues of Norton's generalised Moonshine functions, are constructed for the elliptic genus of K3. It is shown that they satisfy the expected consistency conditions, and that their behaviour under modular transformations is controlled by a 3-cocycle in H^3(M_24,U(1)), just as for the case of holomorphic orbifolds. This suggests that a holomorphic VOA may be underlying Mathieu Moonshine.

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  1. On the Symmetry of Odd Leech Lattice CFT

    hep-th 2024-12 accept novelty 7.0 of 10

    The M24 and M23 lattice symmetries of the odd Leech lattice do not lift to automorphisms of its lattice vertex operator algebra; the relevant group extensions are non-split.

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