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Chiral Hodge cohomology and Mathieu moonshin

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arxiv 1705.04060 v2 pith:FT5FCKOV submitted 2017-05-11 math.QA

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abstract

We construct a filtration of chiral Hodge cohomolgy of a K3 surface $X$, such that its associated graded object is a unitary representation of the N=4 vertex algebra with central charge $6$ and its subspace of primitive vectors has the property: its equivariant character for a symplectic automorphism $g$ of $X$ agrees with the McKay-Thompson series for $g$ in Mathieu moonshine.

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  1. 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.

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