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Generalised Mathieu Moonshine

MPS-Authors
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Volpato,  Roberto
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Fulltext (public)

1211.7074
(Preprint), 449KB

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Citation

Gaberdiel, M. R., Persson, D., Ronellenfitsch, H., & Volpato, R. (2013). Generalised Mathieu Moonshine. Communications in Number Theory and Physics, 7(1), 145-223. doi:10.4310/CNTP.2013.v7.n1.a5.


Cite as: http://hdl.handle.net/11858/00-001M-0000-0010-2478-A
Abstract
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.