Chiral Hodge cohomology and Mathieu moonshin

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.

17 pages, changed pages 2-4, 7-9 and section 4

References in corpus (3)

• Note on Twisted Elliptic Genus of K3 Surface
• Chiral de Rham complex and the half-twisted sigma-model
• Vector bundles induced from jet schemes

Cited by in corpus (3)

• Hodge-elliptic genera and how they govern K3 theories
• Vector bundles induced from jet schemes
• Not Doomed to Fail