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Mathieu twining characters for K3
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The analogue of the McKay-Thompson series for the proposed Mathieu group action on the elliptic genus of K3 is analysed. The corresponding NS-sector twining characters have good modular properties and satisfy remarkable replication identities. These observations provide strong support for the conjecture that the elliptic genus of K3 carries indeed an action of the Mathieu group M24.
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Cited by 2 Pith papers
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On the Symmetry of Odd Leech Lattice CFT
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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SU(2) channels the cancellation of K3 BPS states
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.
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